Problema Solution
The floor of a shed has an area of 117 square feet. The floor is in the shape of a rectangle whose length is 5 feet less than twice the width. Find the length and the width of the floor of the shed.
Answer provided by our tutors
let
l = the length, l>0
w = the width, w>0
A = 117 ft^2 the area
the formula for the area of the rectangle is A=l*w thus we have
l*w = 117
length is 5 feet less than twice the width
l = 2w - 5
plug l = 2w - 5 into l*w = 117
(2w - 5)*w = 117
by solving we find
w = 9 ft
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l = 2*9 - 5
l = 13 ft
the length is 13 feet and the width is 9 feet.