SOLUTION: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 145 square feet and the dimensions of the pool are 9 feet by 15 feet, how wide is the walk

Question 903429: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 145 square feet and the dimensions of the pool are 9 feet by 15 feet, how wide is the walk?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

     .

Total Area of pool and walk  = (9*15 + 145)ft^2

(9+x)(15+x) = 280ft^2

135 + 24x + x^2 = 280

x^2 + 24x - 145 = 0 (Tossing out the negative solution for unit measure)

(x-5)(x+29) = 0

 x = 5ft

walk (on each side)= 2.5ft wide

 

RELATED QUESTIONS

A man built a walk of uniform width around a rectangular pool. If the area of the walk is  (answered by richwmiller)
A man built a walk of uniform width around a rectangular pool. If the area of the walk is  (answered by nerdybill)
#1. A man built a walk of uniform width around a rectangular pool. If the area of the... (answered by richwmiller)
A man built a walk of uniform width around a rectangular pool. If the area of the walk is  (answered by richwmiller)
A man built a walk of uniform width around a rectangular pool. If the area of the walk is  (answered by josgarithmetic)
A man built a walk of uniform width around a rectangular pool. If the area of the walk is  (answered by josgarithmetic)
A man built a walk of uniform width around a rectangular pool. If the area of the walk is  (answered by josgarithmetic)
A man built a walk of uniform width around a rectangular pool. If the area of the walk is  (answered by josgarithmetic)
A man built a walk of uniform width around a rectangular pool. If the area of the walk is  (answered by ewatrrr)