How to find a rectangle on a coordinate plane - SSAT Middle Level Quantitative
Card 0 of 16
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of 
 yards and a length of 
 yards. If Dr. Robinson paid 
 for every yard of fence, how much did the fence cost?
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of  yards and a length of 
 yards. If Dr. Robinson paid 
 for every yard of fence, how much did the fence cost?
To find the cost of the fence, apply the formula 
 in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by 
.
Thus, the solution is:




To find the cost of the fence, apply the formula  in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by .
Thus, the solution is:
Compare your answer with the correct one above

In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of 
 yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.

In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of  yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: 
, where 
 represents one side of the red shed. Given that 
 must equal 
 because 
.
Now you have enough information to find the area of the red shed.
Apply the formula: 

Since the rectangular fence has a width of 
 yards and a length of 
 yards, apply the formula: 
 in order to find the area of the entire backyard.
Thus,

Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:

To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: , where 
 represents one side of the red shed. Given that 
 must equal 
 because 
.
Now you have enough information to find the area of the red shed.
Apply the formula: 
Since the rectangular fence has a width of  yards and a length of 
 yards, apply the formula: 
 in order to find the area of the entire backyard.
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
Compare your answer with the correct one above

Identify the correct set of coordinates for rectangle 
.

Identify the correct set of coordinates for rectangle .
To identify the correct set of coordinate points for rectangle 
, note that the correct set must have two sets of matching 
 coordinates and two sets of matching 
 coordinates. The only answer choice that meets these specifications is:
To identify the correct set of coordinate points for rectangle , note that the correct set must have two sets of matching 
 coordinates and two sets of matching 
 coordinates. The only answer choice that meets these specifications is:
Compare your answer with the correct one above

The rectangle shown above has a width of 
 and a length of 
. Find the area and perimeter of the rectangle.

The rectangle shown above has a width of  and a length of 
. Find the area and perimeter of the rectangle.
To solve this problem apply the formulas: 
 & 
Thus, the solution is:


To solve this problem apply the formulas:  & 
Thus, the solution is:
Compare your answer with the correct one above
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of 
 yards and a length of 
 yards. If Dr. Robinson paid 
 for every yard of fence, how much did the fence cost?
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of  yards and a length of 
 yards. If Dr. Robinson paid 
 for every yard of fence, how much did the fence cost?
To find the cost of the fence, apply the formula 
 in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by 
.
Thus, the solution is:




To find the cost of the fence, apply the formula  in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by .
Thus, the solution is:
Compare your answer with the correct one above

In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of 
 yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.

In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of  yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: 
, where 
 represents one side of the red shed. Given that 
 must equal 
 because 
.
Now you have enough information to find the area of the red shed.
Apply the formula: 

Since the rectangular fence has a width of 
 yards and a length of 
 yards, apply the formula: 
 in order to find the area of the entire backyard.
Thus,

Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:

To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: , where 
 represents one side of the red shed. Given that 
 must equal 
 because 
.
Now you have enough information to find the area of the red shed.
Apply the formula: 
Since the rectangular fence has a width of  yards and a length of 
 yards, apply the formula: 
 in order to find the area of the entire backyard.
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
Compare your answer with the correct one above

Identify the correct set of coordinates for rectangle 
.

Identify the correct set of coordinates for rectangle .
To identify the correct set of coordinate points for rectangle 
, note that the correct set must have two sets of matching 
 coordinates and two sets of matching 
 coordinates. The only answer choice that meets these specifications is:
To identify the correct set of coordinate points for rectangle , note that the correct set must have two sets of matching 
 coordinates and two sets of matching 
 coordinates. The only answer choice that meets these specifications is:
Compare your answer with the correct one above

The rectangle shown above has a width of 
 and a length of 
. Find the area and perimeter of the rectangle.

The rectangle shown above has a width of  and a length of 
. Find the area and perimeter of the rectangle.
To solve this problem apply the formulas: 
 & 
Thus, the solution is:


To solve this problem apply the formulas:  & 
Thus, the solution is:
Compare your answer with the correct one above
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of 
 yards and a length of 
 yards. If Dr. Robinson paid 
 for every yard of fence, how much did the fence cost?
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of  yards and a length of 
 yards. If Dr. Robinson paid 
 for every yard of fence, how much did the fence cost?
To find the cost of the fence, apply the formula 
 in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by 
.
Thus, the solution is:




To find the cost of the fence, apply the formula  in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by .
Thus, the solution is:
Compare your answer with the correct one above

In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of 
 yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.

In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of  yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: 
, where 
 represents one side of the red shed. Given that 
 must equal 
 because 
.
Now you have enough information to find the area of the red shed.
Apply the formula: 

Since the rectangular fence has a width of 
 yards and a length of 
 yards, apply the formula: 
 in order to find the area of the entire backyard.
Thus,

Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:

To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: , where 
 represents one side of the red shed. Given that 
 must equal 
 because 
.
Now you have enough information to find the area of the red shed.
Apply the formula: 
Since the rectangular fence has a width of  yards and a length of 
 yards, apply the formula: 
 in order to find the area of the entire backyard.
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
Compare your answer with the correct one above

Identify the correct set of coordinates for rectangle 
.

Identify the correct set of coordinates for rectangle .
To identify the correct set of coordinate points for rectangle 
, note that the correct set must have two sets of matching 
 coordinates and two sets of matching 
 coordinates. The only answer choice that meets these specifications is:
To identify the correct set of coordinate points for rectangle , note that the correct set must have two sets of matching 
 coordinates and two sets of matching 
 coordinates. The only answer choice that meets these specifications is:
Compare your answer with the correct one above

The rectangle shown above has a width of 
 and a length of 
. Find the area and perimeter of the rectangle.

The rectangle shown above has a width of  and a length of 
. Find the area and perimeter of the rectangle.
To solve this problem apply the formulas: 
 & 
Thus, the solution is:


To solve this problem apply the formulas:  & 
Thus, the solution is:
Compare your answer with the correct one above
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of 
 yards and a length of 
 yards. If Dr. Robinson paid 
 for every yard of fence, how much did the fence cost?
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of  yards and a length of 
 yards. If Dr. Robinson paid 
 for every yard of fence, how much did the fence cost?
To find the cost of the fence, apply the formula 
 in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by 
.
Thus, the solution is:




To find the cost of the fence, apply the formula  in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by .
Thus, the solution is:
Compare your answer with the correct one above

In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of 
 yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.

In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of  yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: 
, where 
 represents one side of the red shed. Given that 
 must equal 
 because 
.
Now you have enough information to find the area of the red shed.
Apply the formula: 

Since the rectangular fence has a width of 
 yards and a length of 
 yards, apply the formula: 
 in order to find the area of the entire backyard.
Thus,

Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:

To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: , where 
 represents one side of the red shed. Given that 
 must equal 
 because 
.
Now you have enough information to find the area of the red shed.
Apply the formula: 
Since the rectangular fence has a width of  yards and a length of 
 yards, apply the formula: 
 in order to find the area of the entire backyard.
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
Compare your answer with the correct one above

Identify the correct set of coordinates for rectangle 
.

Identify the correct set of coordinates for rectangle .
To identify the correct set of coordinate points for rectangle 
, note that the correct set must have two sets of matching 
 coordinates and two sets of matching 
 coordinates. The only answer choice that meets these specifications is:
To identify the correct set of coordinate points for rectangle , note that the correct set must have two sets of matching 
 coordinates and two sets of matching 
 coordinates. The only answer choice that meets these specifications is:
Compare your answer with the correct one above

The rectangle shown above has a width of 
 and a length of 
. Find the area and perimeter of the rectangle.

The rectangle shown above has a width of  and a length of 
. Find the area and perimeter of the rectangle.
To solve this problem apply the formulas: 
 & 
Thus, the solution is:


To solve this problem apply the formulas:  & 
Thus, the solution is:
Compare your answer with the correct one above