Problema Solution

If the width of the rectangle is 20% of its length and the area is 720 square inches, what is the length

Answer provided by our tutors

let


l = length of the rectangle

w = width of the rectangle


the width is 20% of the length that is


w = 0.2*l


A = l*w is the area of the rectangle and A = 720 in^2 thus


l*w = 720


by solving the system of equations


w = 0.2*l

l*w = 720


we find


l = 60 in

w = 12 in


and


l = -12

w= - 60

not a solution since w > 0 and l>0.


The length is 60 inches.