Problema Solution

If Sally wants to create a vegetable garden in her backyard. She wants to have the area of 120 sq ft., and it will be 12ft longer than it is wide. What should she use for the vegetables garden. rouund to nearest 100th foot

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We will assume that the garden is rectangular. Let


l = the length of the garden, l>0


w = the width of the garden, w>0


A = 120 ft^2 the area of the garden


The garden is 12 ft longer than it is wide:


l = 12 + w


The area of a rectangle is:


A = l*w


l*w = 120 plug l = 12 + w into the last equation:


(12 + w)*w = 120

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w = 6.49 ft


l = 12 + 6.49


l = 18.49 ft


The vegetable garden should be 6.49 ft wide and 18.49 ft long.