SOLUTION: The length of a rectangle is 1ft less than 3 times the width. There is 310 ft squared.Find the dimension of the rectangle.

Question 282287: The length of a rectangle is 1ft less than 3 times the width. There is 310 ft squared.Find the dimension of the rectangle.
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
l=3w-1
A=lw
A=310
310=lw
310=(3w-1)w
310=3w^2-w

w=10.33333 or 31/3 ft so l=3(31/3)-1=30ft

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=3721 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 10.3333333333333, -10. Here's your graph:

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