ACT Math : Squares
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Example Questions
Example Question #2 : How To Find The Area Of A Square
What is the area of a square with a side length of 
The area of a square is very easy. You merely need to square the length of any given side. That is, the area is defined as:
For our data, this is:
Example Question #2 : How To Find The Area Of A Square
What is the area of a square with a perimeter of 
Not enough information is given.
For a square all the sides are equal, and there are four sides, so divide the perimeter by 4 to determine the side length.
Next to find the area of a square, square the side length:
Don't forget your units!
Example Question #1 : How To Find The Area Of A Square
Eric has 160 feet of fence for a parking lot he manages. If he is using all of the fencing, what is the area of the lot assuming it is square?
The area of a square is equal to its length times its width, so we need to figure out how long each side of the parking lot is. Since a square has four sides we calculate each side by dividing its perimeter by four.
Each side of the square lot will use 40 feet of fence.
Example Question #4 : How To Find The Area Of A Square
A square garden is inscribed inside a circular cobblestone path. If the radius of the cobblestone path is 
If a square is inscribed inside a circle, the diameter of the circle is the diagonal of the square. Since we know the radius of the circle is 
All squares have congruent sides; thus, the diagonal of a square creates two isosceles right triangles. The ratio of the lengths of the sides of an isosceles right triangle are 
The area of a square is 
Thus, the area of our square garden is
Example Question #1 : How To Find The Area Of A Square
Find the area of a square whose side length is 
To find area, simply square the side length. Thus,
Example Question #11 : Squares
Find the area of a square with side length 5.
To solve, simply use the formula for the area of a square given side length s. Thus,
Example Question #391 : Geometry
A square is circumscribed on a circle with a 6 inch radius. What is the area of the square, in square inches?
144
24
36
48
144
We know that the radius of the circle is also half the length of the side of the square; therefore, we also know that the length of each side of the square is 12 inches.
We need to square this number to find the area of the square.
Example Question #1 : How To Find The Perimeter Of A Square
A square garden has an area of 64 square feet. If you add 3 feet to each side, what is the new perimeter of the garden?
32
44
121
25
20
44
By finding the square root of the area of the garden, you find the length of one side, which is 8. We add 3 feet to this, giving us 11, then multiply this by 4 to get 44 feet for the perimeter.
Example Question #4 : How To Find The Perimeter Of A Square
The area of the shaded region of a square is 18. What is the perimeter of the square?
36
28
24
20
24
The area of the shaded region, which covers half of the square is 18 meaning that the total area of the square is 18 x 2, or 36. The area of a square is equal to the length of one side squared. Since the square root of 36 is 6, the length of 1 side is 6. The perimeter is the length of 1 side times 4 or 6 x 4.
Example Question #1 : How To Find The Perimeter Of A Square
The area of a square is 
The area of a square is given by 
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