SOLUTION: A swimming pool 6 meters wide and 10 meters long is to be surrounded by a walkway of uniform width(uniform = the same all around). The area of the walk way happens to equal th

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Question 133122:
A swimming pool 6 meters wide and 10 meters long is to be surrounded by a walkway of uniform width(uniform = the same all around). The area of the walk way happens to equal the area of the pool.
a. What is the area of the pool?
b. What is the width of the walkway?
c. What is the area of the walk way?
Thanks for your help.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
6*10=60 SQUARE METERS IS THE AREA OF THE POOL.
THE AREA OF THE WALKWAY PLUS THE WALKWAY IS 2860=120 SQUARE METERS.
(6+2X)(10+2X)=120
60+20X+12X+4X^2=120
4X^2+32X+60-120=0
4X^2+32X-60=0
4(X^2+8X-15)=0
USING THE QUADRATIC EQUATION:x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ WE GET:
X=(-8+-SQRT[8^2-4*1*-15])/281
X=(-8+-SQRT[64+60])/2
X=(-8+-SQRT124)/2
X=(-8+-11.1355)/2
X=(-8+11.1355)/2
X=3.1355/2
X=1.568 METERS IS THE WIDTH OF THE WALKWAY.
1.568(10+2*1.568)*2+2(8+1.568)
1.568(10+3.136)*2+2(9.568)
1.568(13.136)*2+19.14
1.568*26.27+19.14
41.19+19.14
60.32 ANSWER FOR THE AREA OF THE WALKWAY (SHOULD BE 60-EXCESS DUE TO ROUNDING)