SOLUTION: The length of a rectangular lawn is 5 feet more thanits width. If the area of the lawn is 980 square feet, find the dimensions of the lawn. Round to the nearest tenth of a foot.

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Question 1104020: The length of a rectangular lawn is 5 feet more thanits width. If the area of the lawn is 980 square feet, find the dimensions of the lawn. Round to the nearest tenth of a foot.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The length of a rectangular lawn is 5 feet more thanits width. If the area of the lawn is 980 square feet, find the dimensions of the lawn. Round to the nearest tenth of a foot.
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L = W + 5
L*W = 980
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W*(W+5) = 980
W^2 + 5W - 980 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=3945 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 28.9046174948844, -33.9046174948844. Here's your graph:

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W = 28.9
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