Problema Solution
The length of a rectangular piece of sheet metal must be 9 inches longer than the width. Find the exact dimensions that will provide an area of 90 sq in
Answer provided by our tutors
let
l = the length of the rectangular piece of metal, l>0
w = the width of the rectangular piece of metal, w>0
The length of a rectangular piece of sheet metal must be 9 inches longer than the width
l = 9 + w
the area is 90 in^2 that is
l*w = 90
plug l = 9 + w into l*w = 90
(9 + w)*w = 90
by solving we find
w = 6 in
click here to see the step by step solution of the quadratic equation
l = 9 + 6
l = 15 in
the dimensions of the rectangular piece of metal are: the length is 15 in and the width is 6 in.