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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   

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) About Me  (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 6x%2A10x=60x%5E2, and pool area is pi%2A%282x%29%5E2=pi%2A4%2Ax%5E2.
Amount of yard remaining, 60x%5E2-4pi%2Ax%5E2.