Problema Solution
The length of a rectangle is 5 cm more than 4 times its width. If the area of the rectangle is 60 cm2, find the dimensions of the rectangle to the nearest thousandth
Answer provided by our tutors
let
l = the length of the rectangle, l>0
w = the width of the rectangle, w>0
A = 60 cm^2 the are of the rectangle
the length of a rectangle is 5 cm more than 4 times its width
l = 5 + 4w
the area of the rectangle is 60 cm2 and the formula for the are is A = l*w
l*w = 60
plug l = 5 + 4w into the last equation
(5 + 4w)*w = 60
by solving we find
w = 3.298 cm
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l = 5 + 4*3.298
l = 18.192 cm
the dimension of the rectangle are 3.298 cm and 18.192 cm.