Question

A rectangular garden has length twice as great as its width. A second rectangular garden has the same width as the first garden and length that is 4 meters greater than the length of the first garden. The second garden has area of 70 square meters.
What is the width of the two gardens?

Answer 1

Let w be the width of the second garden. Then, its' length is 2w+4. So:
w(2w+4)=70
2w²+4w-70=0
w²+2w-35=0
(w+7)(w-5)=0
w=5
2w=10
2w+4=14
The first garden is 5m x 10m, the second is 5m x 14m
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