Word Problems

A rectangle field's lenght is 1/4 longer than its width. If the perimeter is 36 meters what is the area?
First: What is perimeter and what is area?   answer

perimeter = 2 lengths + 2 width    →   p = 2l + 2w
length = l = w + .25w = 1.25w
p = 2l + 2w
36 = 2(w + .25w) + 2w
36 = 2(1.25w) + 2w
36 = 2.5w + 2w = 4.5w
36/4.5 = w
8 = w    →   from above length = l = 1.25w = 1.25(8) = 10

area = length x width    →  a = lw   →  a = 10 x 8   →  a = 80

Try this example:
A rectangle field's lenght is 1/5 longer than its width. If the perimeter is 35.2 meters what is the area?
answer

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