ISEE Lower Level Quantitative : How to find the area of a square

Example Questions

Example Question #1 : How To Find The Area Of A Square

What is the area of a square if one side of the square is 6?

Explanation:

If one side of a square is 6, then each of the four sides of the square are equal to 6. To find the area of a square, we multiply the length and the height together. The length is 6, and the height is 6, thus the equation we use is .

Remember the formula for the area of a quadrilateral is . For a square, one side is equal to both the length and the width.

Example Question #2 : How To Find The Area Of A Square

One side of a square is  centimeters long. What is the area of the square?

Explanation:

The formula for finding the area of a square is  , or, because this is a square, .

area =  centimeters  centimeters, or

Example Question #3 : How To Find The Area Of A Square

A right triangle has a base of  and a height of .

What is the area of the rectangle made by 2 of these triangles aligned along the hypotenuse?

Explanation:

If one combines the 2 identical triangles, their base and height become the length and width of the rectangle.

Area of a rectangle is:

In this case

Example Question #2 : How To Find The Area Of A Square

A square has an area of .  What is the length of one side?

Explanation:

You can find the area of a square by multiplying two sides together.  All of the sides of a square are equal.  In this case, , so the length of all of the sides of the square is 4 inches.

Example Question #1 : How To Find The Area Of A Square

Michaela drew th square below.

What is the area of the square?

12 square centimeters

100 square centimeters

144 square centimeters

48 square centimeters

112 square centimeters

144 square centimeters

Explanation:

The area of a square can be found by multiplying the length of a side times itself.  The side length of the above square is 12 cm. By finding 12 x 12, we find that the area of the square is 144 cm. squared.

Example Question #401 : Plane Geometry

James found the area of the square below to be 36 centimeters squared.

What is the length of one side of the square?

8 centimeters

18 centimeters

36 centimeters

6 centimeters

9 centimeters

6 centimeters

Explanation:

The area of a square can be found by multiplying the length of a side by itself.  36 is equal to 6 times 6, therefore the length of one side is 6 centimeters.

Example Question #402 : Plane Geometry

Daphne found the area of the square below to be 81 centimeters squared.

What is the length of one side of the square?

7 centimeters

20 centimeters

8 centimeters

81 centimeters

9 centimeters

9 centimeters

Explanation:

The area of a square can be found by multiplying the length of a side by itself.  81 is equal to 9 times 9, therefore the length of one side is 9 centimeters.

Example Question #1 : How To Find The Area Of A Square

If the area of a square is , what is the length of each side?