The perimeter of a square is 32 feet find the area of the square

Answer 1

Based on the definition of a square, we know that each side is congruent!

So, we can take 32 divided by 4 (#of sides) to get 8. We now know that each side is 8 feet long.

Now, we can apply the area formula which is A=bh where both the base and the height are 8.

So, 8x8=64=A

The area of the square is 64 feet!

Answer 2

The formula for perimeter for a rectangle is: 2*Lengthside + 2*Widthside. In this case you are working with a square so all the sides are the exact same length. In other words you have: Perimeter = 4*squareside.

And because you know that the total is 32 we have a simple equation where we could solve for one side of the square.

32 = 4*squareside

Dividing both sides by 4 would give us the length of one side. 32/4 is exactly 8.

So each side in our square is 8.

Lastly we use the formula for Area of a square which is base * height. In this case base is the same as height because it is a square. So Area = 8*8 = 64

Therefore if a square has a PERIMETER of 32 then its total AREA is exactly 64.