Problema Solution
The length of the windows in Dan's house are 8 inches shorter than twice their height. The dimensions of the windows in Carla's house are 6 inches longer than those in Dan's house; the area of a window in Carla's house is 1176 in^2. What is the area of a window in Dan's house?
Answer provided by our tutors
let
x = the height of Dan's windows, x>0
2x - 8 = the length of Dan's windows
x + 6 = the height of Carla's windows
2x - 8 + 6 = 2x - 2 the length of the Carla's windows
the area of a window in Carla's house is 1176 in^2:
(x + 6)(2x - 2) = 1176
by solving we find:
x = 22 in
click here to see the step by step solution of the equation:
x = 22 in the height of Dan's windows
2x - 8 = 2*22 - 8 = 22 - 8 = 34 in the length of Dan's windows
the area of Dan's windows is:
22*34 = 748 in^2.