SOLUTION: the length of a rectangular garden is 6m greater than the width. the area is 72m^2. find the dimensions of the garden

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Question 664238: the length of a rectangular garden is 6m greater than the width. the area is 72m^2. find the dimensions of the garden
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let width be x m
length = x+6 m
area = L* W
x(x+6) = 72
x%5E2%2B6x=72
x%5E2%2B6x-72=0
x%5E2%2B12x-6x-72=0
x%28x%2B12%29-6%28x%2B12%29=0
(x+12)(x-6)=0
so x= -12 OR 6
Width cannot be negative
There fore width = 6 m
length = x+6 -------> 6+6=12m