Join Game Changers!

Apply Today and receive complimentary 6 month Premium subscription!
Quick Homework Help
(down) 0 (up)

A tennis court has area of 312yd(2) if the length is 2yd more than twice the width, find the demensions of the court.

dennis139

by dennis139 at October 19, 2011

Answers

(up) 0 (down)
Given Info: Area    (A)  = 312 square yardsWidth  (W) = x yardsLength (L)  = (2x + 2) yards Rectangle Area Formula: A = LW Substituting our value for A andexpressions for L and W: 312 = (2x + 2)(x) Solving our equation for x (width): 312 = (2x + 2)(x)312 = 2x2 + 2x2x2 + 2x - 312 = 0x2 + x - 156 = 0(x + 13)(x - 12) = 0x = -13 and x = 12 Disregard negative solution(can't have a negative measurement),Solution (Dimensions): Width (x) = 12 yardsLength (2x + 2) = 2(12) + 2 = 26 yards Solution Check: A = LW312 = (26)(12)312 = 312 (it checks)  312 = x(x + 2) 312

karrjg karrjg October 21, 2011

Add your answer


Post your answer

Try Instatnt Math