Andrew M. answered • 07/13/15

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

When we set up and solve the quadratic equation for this problem we

**discard the negative****values in the final answer**because length and width of the sides of a rectangle are always

considered to be a positive number. If the problem is worked to the correct solution then

the

**final answer is the rectangle is 3 by 8**.*************************************************

We can check that easily enough.

x = 3

2x+2 = 8

and (3ft)(8ft) = 24 ft

^{2}The only reason she is incorrect is because she said the rectangle could also be -4 by -6

Which by the way does also satisfy the equation.

Andrew M.

-4 by -6 does fit 'x and 2x +2'

2(-4)+2 = -8

It also fits 24 ft

^{2 }since (-4)(-6) = 24The only reason she was wrong is that the length

and width of a rectangle cannot be a negative value.

Thus, while both 3 by 8 and -4 by -6 fit the

stated parameters, the only correct answer is

3 by 8

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07/13/15

Andrew M.

Correction..., typo...,

2(-4)+2=-6

so -4 by -6 does fit x and 2x+2

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07/13/15

David W.

mustfit all of the original constraints (note: you may also notice this with absolute value problems).07/13/15