SOLUTION: 1) The area of a rectangular garden is given by the trinomial x^2+x-42, what are the possible dimensions of the rectangle? Use factoring. Find a pair of values that could represent

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Question 944631: 1) The area of a rectangular garden is given by the trinomial x^2+x-42, what are the possible dimensions of the rectangle? Use factoring. Find a pair of values that could represent the dimensions if the rectangle.
2) A familt is having a pool built in their backyard. If their yard is rectangular and measures 6x by 10x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built? Write your answer in factored form.

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
1:

Why should the area expression need to be factored? Factoring will only give two rectangular dimensions, but the garden can have many other dimensions.
Maybe you only care about (x+7) and (x-6).


2:

Difference of areas.
Yard is , and pool area is .
Amount of yard remaining, .

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