Problema Solution

dale and sharon have decided to fence off the garden plot behind their house, using their house as "fence" along side of a garden. the length (which runs parallel to the house) is 8 feet less than twice the width. find the dimensions if 28 feet of fencing is sued along the three sides requiring it

Answer provided by our tutors

let


l = the length of the garden plot

w = the width of the garden plot


the length (which runs parallel to the house) is 8 feet less than twice the width


l = 2w - 8


28 feet of fencing is sued along the three sides requiring it


l + 2w = 28


by solving the system of equations


l = 2w - 8

l + 2w = 28


we find


l = 10 ft


w = 9 ft


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the dimensions are 10 feet and 9 feet.