SOLUTION: Word Problem: Janice has enough money to purchase pebbles to cover 74 square feet. She wishes to form a border around her pool. The pool measures 25 ft. in length and 10 ft in w

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Word Problem: Janice has enough money to purchase pebbles to cover 74 square feet. She wishes to form a border around her pool. The pool measures 25 ft. in length and 10 ft in w      Log On


   

Question 98220: Word Problem:
Janice has enough money to purchase pebbles to cover 74 square feet. She wishes to form a border around her pool. The pool measures 25 ft. in length and 10 ft in width. How wide should she make the border
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(25+2X)(10+2X)-25*10=74 THIS IS THE TOTAL AREA MINUS THE POOL AREA EQUALS 74 SQ FT.
250+20X+50X+4X^2-250=74
4X^2+70X-74=0
2(2X+35X-37)=0
(2X+37)(X-1)=0
X-1=0
X=1 ANSWER FOR THE WIDTH OF THE BORDER.
PROOF
(25+2)(10+2)-250=74
27*12-250=74
324-250=74
74=74