Problema Solution
Suppose that the width of a certain rectangle is 5 inches more than one-fourth of its length. The perimeter of the rectangle is 100 inches. Find the length and width of the rectangle.
Answer provided by our tutors
let
l = the length of the rectangle
w = the width of the rectangle
the width of a certain rectangle is 5 inches more than one-fourth of its length
w = 5 + (1/4)l
the perimeter of the rectangle is 100 inches
2(l + w) = 100 divide both sides by 2
l + w = 50
by solving the system of equations
w = 5 + (1/4)l
l + w = 50
we find
l = 36 in
w = 14 in
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the length of the rectangle is 36 inches.
the width of the rectangle is 14 inches.