Problema Solution
THe length of a rectangle is 8 centimeters less than three times its width. Its area is 35 square centimeters. Find the dimensions of the rectangle.
Answer provided by our tutors
let
l = the length of the rectangle, l>0
w = the width of the rectangle, w>0
A = 35 cm^2
THe length of a rectangle is 8 centimeters less than three times its width:
l = 3w - 8
Its area is 35 square centimeters:
A = l*w
l*w = 35
plug l = 3w - 8 into the last equation:
(3w - 8)*w = 35
by solving we find:
w = 5 cm
click here to see the step by step solution of the equation:
l = 3*5 - 8
= 7 cm
the dimensions of the rectangle are: the length is 7 cm and the width is 5 cm.