Problema Solution
The area of a rectangle is 216 in.2. Sides are 3:8 ratio. What is the perimeter?
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let
w = the width of the rectangle
l = the length of the rectangle
A = 216 in^2 the area of the rectangle
P = 2(l + w) is the perimeter of the rectangle
sides are 3:8 ratio
w : l = 3 : 8 cross multiply
8w = 3l
l = (8/3)w
the area of a rectangle is 216 in*2
l*w = 216
plug l = (8/3)w into the last equation
(8/3)w*w = 216
by solving we find
w = 9 in
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l = (8/3)*9
l = 24 in
P = 2*(9 + 24)
P = 2*33
P = 66 in
the perimeter is 66 inches.