# Algebra Question~!

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The area of a rectangular room is given by the trinomial x^2+7x-30. What are the possible dimensions of the rectangle? Use factoring. (1 point)

• Algebra Question~! -

(x+10)(x-3)

• Algebra Question~! -

x^2 + 7x - 30
= (x+10)(x-3)
so the sides could be (x+10) and (x-3) , were x > 3

or

x^2 + 7x - 30
= (x-2)(x+9 - 12/(x-2) )
so the sides could be x-2 and x+9 - 12/(x-2)

or

x^2 + 7x - 30
= (x+5)((x+2 - 40/(x+5) )
so the sides could be x+5 and x+2 - 40/(x+5)

or ...

as you can see there is no unique solution, I could pick any binomial for a first side, do a division and get the 2nd side.

Illustrate with numbers
Suppose you have an area of 30
so the sides could be 5 and 6
or
the sides could be 3 and 10
or
the sides could be 1 and 30
or
4.5 and 6 2/3

etc, can you see my point?

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