A swimming pool is rectangular with the length of the pool 5

A swimming pool is rectangular with the length of the pool 5 feet less than three times the width. If the total area of the pool is 600 square feet, find the dimensions of the pool. 2. Solve each of the following for X:

Solution

length = l ; width = w

l = 3w -5

Area = l*w = w(3w-5) =600

3w^2 -5w -600 =0

solve the quadratic equation:

comparing with ax^2 +bx +c =0

a = 3 ; b =-5 ; c =-600

w = (-b +/ sqrt(b^2 -4ac) )/2a

= ( 5 +/- sqrt(25 +4*600*3))/6 = (5 +/- sqrt7225)/6

w = -40/3 , 15

Neglect -ve value

So, we have w = 15 feet; l = 3w -5 = 45 -5 = 40 feet

Dimension: length = 40 feet ; width = 15 feet