Question

Two storage sheds are to have the same area one is 2 meters wide and 32 meters long. how long is one side of the square shed in meters?

Answer 1

The area formula for both a square and a rectangle is A = L*W, only in a square, the length and width are the same. It can be rewritten then as
`A=s^2` where s is a side. If we have the length and width of the rectangle to be 32 and 2, respectively, then the area is 32*2=64. If the square is to have the same area, 64, we will fill it into our square formula for area like this:
`64=s^2`. To solve for s we will take the square root of both sides to get s = 8 and s = -8. The 2 things in math that will never EVER be negative are time and distance/length so -8 is out. That means that the side lengths of the square is 8 meters.