Problema Solution
The length of a rectangle exceeds its width by 3 inches, and the area is 54 inches.What are the length and width of the rectangle?
Answer provided by our tutors
Let
l = the length of the rectangle, l>0
w = the width of the rectangle,w>0
A = 54 in the area of the rectangle
the length of a rectangle exceeds its width by 3 inches:
l = w + 3
the formula for area is A = l*w or
l*w = 54
plug l = w + 3 into l*w = 54 we get
(w + 3)*w = 54
by solving we find
w = 6 in
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l = 6 + 3
l = 9 in
the length of the rectangle is 9 inches, while the width is 6 inches.