SOLUTION: please explain me in rectangle the length is one more than breadth, the area is 72sq.units what is the lenth

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Question 687530: please explain me in rectangle the length is one more than breadth, the area is 72sq.units what is the lenth
Answer by Stitch(470)   (Show Source): You can put this solution on YOUR website!
Area = Length * Breadth
A = L * B
And we know that L = B + 1
And that the area is 72
Rewrite the area equation:
72 = L * B
Substitute (B+1) in for L
72 = (B + 1) * B
Simplify
72 = B^2 + B
Set the equation equal to zero

Now you can use the quadratic equation.
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=289 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 8, -9. Here's your graph:

Note that you can not have a negative value for the answer. So B = 8
Now plug 8 in for B in the L = B + 1 equation
L = 8 + 1
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