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A square and a rectangle have the same area. The square has side length 8 in. The length of the

rectangle is four times its width. What is the length of the rectangle?

1 Answer

14 votes

The first step we take is to find the area of the square since the area of the square is equal to the area of the rectangle


area-of-rectangle = area- of-square\\area-of-rectangle = 8*8 = 64in^2

Another fact we know is that the length of the rectangle is four times the width.

L = 4W

  • L: Length's length
  • W: Width's length

Now let's put the variables, found above, into the format to find the area of the rectangle


area-of-rectangle = L * W, (L = 4W)\\area-of-rectangle = 4W * W\\\\64 = 4W^2\\16 = W^2\\\\W^2 = 16\\\\W = 4

Since the Width is 4, L = 4 * W = 4 * 4 = 16 in.

So the length is 16 inches

Hope that helps!

User Rischan
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