121k views
2 votes
. The perimeter of a rectangular pool is 74 feet. The width

is 9 feet shorter than the length. What is the length and
width of the pool?

User Vic Andam
by
4.7k points

1 Answer

5 votes

Answer: the length is 23 feet the width is 14 feet

Explanation:

Let the length is x feet

Hence, the width is (x-9) feet

The perimeter of a rectangular pool is:

P=(2)(x+(x-9))

74=(2)*(2x-9)

74=(2)(2x)-(2)(9)

74=4x-18

74+18=4x-18+18

92=4x

(4)(23)=(4)(x)

Divide both parts of the equation by 4:

23 feet=x

23-9=x-9

14 feet=x-9

User Nekisha
by
5.6k points