All ISEE Middle Level Math Resources
Example Questions
Example Question #111 : Plane Geometry
Find the perimeter of a square with a width of 9in.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the width of the square is 9in. Because it is a square, all sides are equal. Therefore, all sides are 9in. So, we can substitute.
Example Question #112 : Plane Geometry
Find the perimeter of a square with a width of 9cm.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the width of the square is 9cm. Because it is a square, all sides are equal. Therefore, all sides are 9cm. So, we can substitute. We get
Example Question #111 : Plane Geometry
Find the perimeter of a square with a length of 6in.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the length of the square is 6in. Because it is a square, all sides are equal. Therefore, all sides are 6in. So, we can substitute. We get
Example Question #113 : Plane Geometry
Find the perimeter of a square with a length of 14cm.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the width of the square is 14cm. Because it is a square, all sides are equal. Therefore, all sides are 14cm. So, we get
Example Question #121 : Plane Geometry
Find the perimeter of a square that has a length of 13in.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the length of the square is 13in. Because it is a square, all sides are equal. Therefore, all sides are 13in.
Knowing this, we can substitute into the formula. We get
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 #21 : Squares
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 #3 : How To Find The Area Of A Square
What is the area of a square with a side length of 4?
12
8
4
16
14
16
The area of a square is represented by the equation .
Therefore the area of this square is .
Example Question #4 : 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:
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