How to find the perimeter of a rectangle - SSAT Elementary Level Quantitative
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A rectangular birthday cake (shown above) measures 8 inches by 12 inches. What is the perimeter of the cake?

A rectangular birthday cake (shown above) measures 8 inches by 12 inches. What is the perimeter of the cake?
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If a rectangle has a perimeter of
units, and one of its sides is of length
, what are the lengths of its other three sides?
If a rectangle has a perimeter of units, and one of its sides is of length
, what are the lengths of its other three sides?
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Since rectangles have two sets of equal sides, and one side is of length
, there must be another side of length
. Since we know the total perimeter of the rectangle, we can get the length of the two remaining sides by subtracting the two known side lengths from the total perimeter.
, and since the rectangle must have another set of equal sides, we must split
into two equal parts. Therefore, the last two sides must be
and
. This means the rectangle's other three sides must be
,
, and
.
Since rectangles have two sets of equal sides, and one side is of length , there must be another side of length
. Since we know the total perimeter of the rectangle, we can get the length of the two remaining sides by subtracting the two known side lengths from the total perimeter.
, and since the rectangle must have another set of equal sides, we must split
into two equal parts. Therefore, the last two sides must be
and
. This means the rectangle's other three sides must be
,
, and
.
How many sides does a rectangle have?
How many sides does a rectangle have?
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A rectangle is a shape with 4 sides. The opposite sides have equal lengths.
A rectangle is a shape with 4 sides. The opposite sides have equal lengths.
If Adam draws a rectangle with a long side of 6 cm and a short side of 5 cm, what is the perimeter?
If Adam draws a rectangle with a long side of 6 cm and a short side of 5 cm, what is the perimeter?
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To find the perimeter of a rectangle, add all four sides:

To find the perimeter of a rectangle, add all four sides:

How many feet of fence do you need to surround the rectangular area in front of the house?

How many feet of fence do you need to surround the rectangular area in front of the house?
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In order to figure out how many feet of fence you need, add up all of the segments that are going to be fenced. Thus,
. Remember, you will not need to put fence where the house is.
In order to figure out how many feet of fence you need, add up all of the segments that are going to be fenced. Thus, . Remember, you will not need to put fence where the house is.

What is the perimeter of the rectangle?

What is the perimeter of the rectangle?
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To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides of a rectangle are always equal.

To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides of a rectangle are always equal.
Which of the lists below could represent the side lengths of a rectangle?
Which of the lists below could represent the side lengths of a rectangle?
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Rectangles have two pairs of equal sides.
Rectangles have two pairs of equal sides.

What is the perimeter of the above rectangle?

What is the perimeter of the above rectangle?
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To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides are always equal.

To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides are always equal.
If Elijah draws a rectangle with a long side of 9 cm and a short side of 3 cm, what is the perimeter of the rectangle?
If Elijah draws a rectangle with a long side of 9 cm and a short side of 3 cm, what is the perimeter of the rectangle?
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To find the perimeter of a rectangle, add all four sides:

To find the perimeter of a rectangle, add all four sides:
One rectangular lane in a swimming pool is
feet wide and
feet long. What is the area of the lane?
One rectangular lane in a swimming pool is feet wide and
feet long. What is the area of the lane?
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Area is calculated for a rectangle as width multiplied by length. In this case,
square feet.
Area is calculated for a rectangle as width multiplied by length. In this case, square feet.
A rectangular table can seat
people on each of its longer sides and
people on each of its shorter sides.
How many people are at the table when all the seats are filled?
A rectangular table can seat people on each of its longer sides and
people on each of its shorter sides.
How many people are at the table when all the seats are filled?
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Since a rectangle has two pairs of equal-length sides, multiply the number of people that can sit on each side by
, then add these numbers together to find the total number of people that can sit at the table.
people
Since a rectangle has two pairs of equal-length sides, multiply the number of people that can sit on each side by , then add these numbers together to find the total number of people that can sit at the table.
people
What is the PERIMETER of the rectangle in the image?
What is the PERIMETER of the rectangle in the image?
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Because the problem asks you to find the perimeter, you are looking for the total distance around the outside of the shape. The problem also tells you that the figure is a rectangle, so you know that all the sides are 10 cm and 30 cm. Adding all four sides gives the perimeter: 
Because the problem asks you to find the perimeter, you are looking for the total distance around the outside of the shape. The problem also tells you that the figure is a rectangle, so you know that all the sides are 10 cm and 30 cm. Adding all four sides gives the perimeter:

What is the perimeter of the above rectangle?

What is the perimeter of the above rectangle?
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To find the perimeter of the rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides are always equal.

To find the perimeter of the rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides are always equal.

Give the perimeter of the rectangle in millimeters.

Give the perimeter of the rectangle in millimeters.
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Use the following formula for the perimeter, substituting the two side lengths,
:


Since there are 1,000 millimeters in 1 meter, multiply the answer by 1,000:

Use the following formula for the perimeter, substituting the two side lengths, :
Since there are 1,000 millimeters in 1 meter, multiply the answer by 1,000:

What is the perimeter of the above rectangle?

What is the perimeter of the above rectangle?
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To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides of a rectangle are always equal!

To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides of a rectangle are always equal!

What is the perimeter of the rectangle?

What is the perimeter of the rectangle?
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To find the perimeter of a rectangle, add all four sides together.

To find the perimeter of a rectangle, add all four sides together.

What is the perimeter of the rectangle?

What is the perimeter of the rectangle?
Tap to see back →
To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposites sides of a rectangle are always equal.

To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposites sides of a rectangle are always equal.
A rectangle has sides of lengths
and
. What is its perimeter?
A rectangle has sides of lengths and
. What is its perimeter?
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Since a rectangle has two sets of equal sides, the perimeter is the sum of twice each of the two sides given.
and
.
, which is the answer.
Since a rectangle has two sets of equal sides, the perimeter is the sum of twice each of the two sides given. and
.
, which is the answer.

What is the perimeter of the blue rectangle?

What is the perimeter of the blue rectangle?
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To find the perimeter of the rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides are always equal.

To find the perimeter of the rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides are always equal.
Madison would like to buy a rug to cover the whole floor in her new room. Her room is in the shape of a rectangle and has a perimeter of
feet. She measured and one side of her room is
feet long. Which of the following rug dimensions would best fit Madison's room?
Madison would like to buy a rug to cover the whole floor in her new room. Her room is in the shape of a rectangle and has a perimeter of feet. She measured and one side of her room is
feet long. Which of the following rug dimensions would best fit Madison's room?
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The perimeter is the measurements of all four sides of a square or rectangle. We can use the following formula to solve the problem:

We already know that one side is 15 ft and that the total perimeter is 76 ft, so we can plug those numbers into the formula.


We can subtract 30 from both sides of the equation.

Now we are left with:

We can divide both sides by 2 to find the width of the room.


Therefore, the lengths of the other two sides of the room are 23 ft.
To check to see if our answer is correct we can add the four sides of the room:

This equals 76! (The perimeter of the room in the problem.)
Madison should buy a rug that is 15 ft. by 23 ft.
The perimeter is the measurements of all four sides of a square or rectangle. We can use the following formula to solve the problem:
We already know that one side is 15 ft and that the total perimeter is 76 ft, so we can plug those numbers into the formula.
We can subtract 30 from both sides of the equation.
Now we are left with:
We can divide both sides by 2 to find the width of the room.
Therefore, the lengths of the other two sides of the room are 23 ft.
To check to see if our answer is correct we can add the four sides of the room:
This equals 76! (The perimeter of the room in the problem.)
Madison should buy a rug that is 15 ft. by 23 ft.