SOLUTION: The sides of a rectangular floor are x m and (x+7)m.the diagonal is (x+8)m. Calculate I)the value of x. II)the area of the floor.

Algebra ->  Pythagorean-theorem -> SOLUTION: The sides of a rectangular floor are x m and (x+7)m.the diagonal is (x+8)m. Calculate I)the value of x. II)the area of the floor.       Log On


   

Question 1060209: The sides of a rectangular floor are x m and (x+7)m.the diagonal is (x+8)m.
Calculate
I)the value of x.
II)the area of the floor.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x^2 + (x+7)^2 = (x+8)^2
2x^2 + 14x + 49 = x^2 + 16x + 64
x^2 - 2x - 15 = 0
(x-5)(x+3) = 0

x = 5 ==> sides of floor are 5 m and 12 m

Area = 5(12) = 60 m^2