The cover of a rectangular swimming pool is 500 square feet. if the length is 10 feet less than four times the width, what is the perimeter of the pool

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Mathematics

Tater Tot

17 April, 02:34

The cover of a rectangular swimming pool is 500 square feet. if the length is 10 feet less than four times the width, what is the perimeter of the pool

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Samir Patton · Answer 1

So the length is 4w-10 and the width is just w, the area (the cover) is

(4w-10) (w) = 500. So when you multiply it out you get 4w²-10w=500. When you solve for that you get that w is 12.5, - 10 but since it is a measurement, it needs to be positive so w=12.5. Substituting that back into the equation, ((4) (12.5) - 10) = 40. So 40+40+12.5+12.5 = 95.