SOLUTION: The sides of a rectangular floor are Xmetres and (X+7)metres.The diagonal is (X+8)metres,calculate the value of X.

Algebra ->  Rectangles -> SOLUTION: The sides of a rectangular floor are Xmetres and (X+7)metres.The diagonal is (X+8)metres,calculate the value of X.      Log On


   

Question 1021922: The sides of a rectangular floor are Xmetres and (X+7)metres.The diagonal is (X+8)metres,calculate the value of X.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
X%5E2%2B%28X%2B7%29%5E2=%28X%2B8%29%5E2
X%5E2%2BX%5E2%2B14X%2B49=X%5E2%2B16X%2B64
X%5E2-2X-15=0
%28X-5%29%28X%2B3%29=0
Only the positive solution makes sense here,
X-5=0
X=5