Problema Solution

The length of a rectangle is 5 cm more than 4 times its width. If the are of the rectangle is 60cm^2, find the dimensions of the rectangle to the nearest thousandth.

Answer provided by our tutors

let length = x

width=y

xy=60

x=4y+5

=> 4y^2 + 5y - 60 =0

=>  y = [-5 + sqt(25+960)]/8

=> y = 3.298

=> y = [-5-sqt(25+960)]/8

=> y = -4.548(not possible)

=> y = 3.298

=> x=18.193