Problema Solution
The area of a rectangle is 12 square inches. The length is 5 more then twice the width. Find the length and the width.
Answer provided by our tutors
let
l = the length of the rectangle, l>0
w = the width of the rectangle, w>0
the area of a rectangle is 12 square inches
l*w = 12
the length is 5 more then twice the width
l = 5 + 2w
we plug l = 5 + 2w into l*w = 12
(5 + 2w)w = 12
by solving we find
w = 1.5 in
l = 5 + 2*1.5 = 8 in
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the length is 8 inches.
the width is 1.5 inches.