SOLUTION: the area of a landing pad has an area of 1200 square feet. The length is 10 feet longer than the width. What is the length and width. Please help me solve this problem.

Algebra ->  Test -> SOLUTION: the area of a landing pad has an area of 1200 square feet. The length is 10 feet longer than the width. What is the length and width. Please help me solve this problem.      Log On


   



Question 231651: the area of a landing pad has an area of 1200 square feet. The length is 10 feet longer than the width. What is the length and width. Please help me solve this problem.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
L=W+10
LW=1,200
(W+10)W=1,200
W^2+10W=1,200
W^2+10W-1,200=0
(W+40)(W-30)=0
W-30=0
W=30 ANS FOR THE WIDTH.
L=30+10=40 ANS. FOR THE LENGTH.
PROOF:
30*40=1,200
1,200=1,200