SOLUTION: The area of a rectangular tennis court is 140 m2. Its length is 6 m shorter than twice its width. Find the length and width of the tennis court.

Question 954787: The area of a rectangular tennis court is 140 m2. Its length is 6 m shorter than twice its width. Find the length and width of the tennis court.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
A=Area=140sqm; W=width; L=length=2W-6m
Substitute for W.

Subtract 140m^2 from each side.

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=1156 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 10, -7. Here's your graph:

W=10m ANSWER 1: The width is 10 meters.
L=2W-6m=2(10m)-6m=20m-6m=14m ANSWER 2: The length is 14 meters.
CHECK:
A=LW
140 sq m=(14m)(10m)
140 sq m=140 sq m
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