SOLUTION: mr.jackson has a rectangular shaped garden where the length was 4 less than twice the width. if the area of the garden is 420 square feet, find the dimensions of the garden to the

Question 936218: mr.jackson has a rectangular shaped garden where the length was 4 less than twice the width. if the area of the garden is 420 square feet, find the dimensions of the garden to the nearest hundredth.
Answer by srinivas.g(540) (Show Source): You can put this solution on YOUR website!
let width be x feet
length was 4 less than twice the width
length = 2*x-4
area = width x length
420 = x* (2x-4)
420 = x*2x-x*4

move 420 to the right

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=3376 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 15.5258390463339, -13.5258390463339. Here's your graph:

x= 15.53 , -13.53
but x cannot be negative
hence width (w) = 15.53 feet
length (l) = 2*15.53-4
= 31.06-4
= 27.06 feet
length = 27.06 feet & width = 15.53 feet
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