All ISEE Middle Level Math Resources
Example Questions
Example Question #1 : How To Find The Area Of A Square
Which of the following is equal to the area of a square with perimeter 8 meters?
The sidelength of a square is one-fourth its perimeter, so the sidelength here is one-fourth of 8, or 2, meters. One meter is equal to 100 centimeters, so the sidelength is 200 centimeters. Square this to get the area:
square centimeters.
Example Question #1 : How To Find The Area Of A Square
Which of the following is the area of a square with perimeter 7 feet?
Convert 7 feet to inches by multiplying by 12: inches.
The sidelength of a square is one-fourth its perimeter, so the sidelength here is one-fourth of 84 inches. This is inches.
Square this to get the area:
square inches
Example Question #2 : How To Find The Area Of A Square
What is the area of a square with a side length of 4?
16
8
4
12
14
16
The area of a square is represented by the equation .
Therefore the area of this square is .
Example Question #3 : How To Find The Area Of A Square
Square A has sides measuring 5 meters. A second square, Square B, has sides that are 2 meters longer than the sides of Square A. What is the difference in area of Square A and Square B?
The area of Square A is 5 * 5, or 25 m2.
Since each of Square B's sides is 2 meters longer, the sides measure 7 meters. Therefore, the area of square B is 49 m2.
Subtract to find the difference in areas:
Example Question #5 : How To Find The Area Of A Square
The ratio of the length of a side of one square to the length of the side of another square is . Give the ratio of the area of the second square to the area of the first square.
The area of a square can be found as follows:
Where:
So we can write:
Example Question #6 : How To Find The Area Of A Square
What is the area of a square if the length of one side is ?
The area of a square is found by multiplying one side by itself.
We are given the side length, allowing us to solve.
Example Question #5 : How To Find The Area Of A Square
A square has an area of 36, and each side is equal to What is the value of ?
Each side of a square is equal to the square root of the area. The square root of 36 is 6, so each side is 6. Thus, 3x (being a side of the square is equal to 6. This means that x is equal to 2 because 3 times 2 is 6.
Example Question #32 : Squares
Find the area of a square with side length 10.
To find the area of a square, simply use the formula. Thus,
Example Question #6 : How To Find The Area Of A Square
The area of a square is ?
The area of a square is the side length squared not the side length times .
Example Question #4 : How To Find The Area Of A Square
If you are given one side length of a square, you can find the area with that information.
True
False
True
To find the area of a square, you multiple . But with a square all the sides are equal so the equation really is or the side length squared. Since you are given the side length, you can find the area.
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