SOLUTION: The length of a rectangle is ( 3x + 4 ) feet and the width is ( 2x - 6 ) feet. Find the area of the rectangle in terms of the variable x.

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Question 106271: The length of a rectangle is ( 3x + 4 ) feet and the width is ( 2x - 6 ) feet. Find the area of the rectangle in terms of the variable x.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
L=3x%2B4
W=2x-6
A = L x W
A=%283x%2B4%29%2A%282x%2B%28-6%29%29
Usethe Foil Method (First Outer Inner Last)
First%28highlight%283x%29%2B4%29%2A%28highlight%282x%29%2B%28-6%29%29%3A%283x%29%2A%282x%29
Outer%28highlight%283x%29%2B4%29%2A%282x%2Bhighlight%28-6%29%29%3A%283x%29%2A%28-6%29
Inner%283x%2Bhighlight%284%29%29%2A%28highlight%282x%29%2B%28-6%29%29%3A%284%29%2A%282x%29
First%283x%2Bhighlight%284%29%29%2A%282x%2Bhighlight%28-6%29%29%3A%284%29%28-6%29

%283x%2B4%29%2A%282x-6%29=6x%5E2-18x%2B8x-24
%283x%2B4%29%2A%282x-6%29=6x%5E2-10x-24
A=6x%5E2-10x-24