The length of a rectangular pool is 5 meters more than 2 times its width. The area of the pool is 52 square meters. What is the length of the pool?

Answer 1

Let x = width

Let 2x+5 = length

Area = length x width Plug in the values

52=x(2x+5) Now need to solve this for x. Start with the distributive property on the right side

52=2x²+5x Subtract 52 from both sides of the equation

0=2x²+5x-52 Factor

0=(2x+13)(x-4) Set each factor equal to zero and solve

2x+13=0 (will be negative, this cannot be a solution)

x-4=0 Add 4 to both sides

x=4 is the width

To find the length:

2(4)+5=13 m is the length of the pool