SOLUTION: A new swimming pool measures 15 ft by 20 ft. A strip of grass of uniform width x will be planted around three sides of the pool, the two shirt sides and pone of the longer sides.

Algebra ->  Inequalities -> SOLUTION: A new swimming pool measures 15 ft by 20 ft. A strip of grass of uniform width x will be planted around three sides of the pool, the two shirt sides and pone of the longer sides.       Log On


   



Question 1093022: A new swimming pool measures 15 ft by 20 ft. A strip of grass of uniform width x will be planted around three sides of the pool, the two shirt sides and pone of the longer sides. There is enough grass for 168 square feet of lawn. Write and solve an inequality ti determine width of the strip that can be seeded. Whats the Number of the width? Do i mutiply 12 by 15?
Answer by josgarithmetic(39617) About Me  (Show Source):
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A new swimming pool measures 15 ft by 20 ft. A strip of grass of uniform width x will be planted around three sides of the pool, the two shOrt sides and one of the longer sides. There is enough grass for 168 square feet of lawn. Write and solve an inequality ti determine width of the strip that can be seeded.
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Draw and label the picture. You do that.

Total grass strip area covered is
15x%2B15x%2B20x%2B2x%5E2
2x%5E2%2B20x%2B30x
highlight_green%282x%5E2%2B50x%29.

168 square feet of available grass seed;
2x%5E2%2B50x%3C=168
and left side must be greater than 0;
2x%5E2%2B50x-168%3C=0
x%5E2%2B25x-84%3C=0
general solution of quadratic equation:
x=%28-25%2B-+31%29%2F2

x=%2831-25%29%2F2
x=3

MAXIMUM width for the grass strips is 3 feet.

highlight%280%3Cx%3C3%29