Problema Solution
The demision of a rectangle length is 9 in. more than width. If double length decreased by 4 the area would be increased by 168 in^2. what are the length and width of the rectangle
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let
l = the length of the rectangle, l>0
w = the width of the rectangle, w>0
the demision of a rectangle length is 9 in. more than width
l = 9 + w
if double length decreased by 4 the area would be increased by 168 in^2
(2l - 4)*w = l*w + 168
plug l = 9 + w into the last equation
(2(9 + w) - 4)w = (9 + w)w + 168
by solving we find
w = 10.7 in
click here to see the step by step solution of the system of equations
l = 9 + 10.7
l = 19.7 in
the length is 19.7 in.
the width if 10.7 in.