Word Problems

A rectangle field's lenght is 1/5 longer than its width. If the perimeter is 35.2 meters what is the approximate area?

perimeter = 2 lengths + 2 width    →   p = 2l + 2w
length = l = w + .2w = 1.2w
p = 2l + 2w
35.2 = 2(w + .2w) + 2w
35.2 = 2(1.2w) + 2w
35.2 = 2.4w + 2w = 4.4w
35.2/4.4 = w
8 = w    →   from above length = l = 1.2w = 1.2(8) = 9.6

area = length x width    →  a = lw   →  a = 9.6(8)   →  a = 76.8

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