The diagonal of a rectangular room is 52 ft long. one wall measures 28 ft longer than the adjacent wall. Find the dimensions of the room.

Answer 1

x^2 + (x+28)^2 = 52^2

x^2 + x^2 + 56 x + 784 = 2704

2 x^2 + 56 x - 1920 = 0

x^2 + 28 x -960 = 0

x = [-28 +/- sqrt(28^2 + 3840) ]/2

x = [ 28 +/- 68 ]/2

x = 48
48 - 28 = 20

so 48 by 20