What is the effect on the perimeter of a rectangle if the dimensions of the rectangle are doubled What is the effect on the area if the dimensions are doubled?

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P = perimeter = 2(L+W) = 2L + 2W A = area = L*W . If you double L and W, you have 2L and 2W so P = 2(2L + 2W) = 4L + 4W which means the perimeter has doubled from 2L + 2W to 4L + 4W. . A = 2L*2W A = 4L*W . However, the area has quadrupled. Why? 2*2 = 4 . As a check, consider a rectangle with sides = 4 ft. (Yes, it's a square.) . P = 2(4+4) = 2(8) = 16 ft A = 4*4 = 16 sq ft . Now double the sides = 8 ft . P = 2(8+8) = 2*16 = 32 A = 8*8 = 64 . The perimeter doubled from 16 to 32 ft. The area quadrupled from 16 to 64. .

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The area increases, but there's no way to say by how much in general. The percent increase is different in different cases.