SOLUTION: The area of a square meters for a trianglar sail is given by A(x) = x^+5x+6 a) Find A(5) b) If the height of the sail is x+3 meters, then what is the length of the base of the sa

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Question 202532: The area of a square meters for a trianglar sail is given by A(x) = x^+5x+6
a) Find A(5)
b) If the height of the sail is x+3 meters, then what is the length of the base of the sail?
I was able to factor out the equation which is (x+3) (X+2). I'm not sure how to answer a + b. Can you help me out by providing an example that I can follow?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If A%28x%29+=+x%5E2%2B5x%2B6:
1) Find A%285%29 Substitute x = 5 into the given equation for the area.
A%285%29+=+%285%29%5E2%2B5%285%29%2B6 Evaluate.
A%285%29+=+25%2B25%2B6
A%285%29+=+56sq.meters.
2) Use the formula for the area of a triangle:
A+=+%281%2F2%29%2Ab%2Ah Substitute: A+=+x%5E2%2B5x%2B6, h+=+x%2B3
x%5E2%2B5x%2B6+=+%281%2F2%29%2Ab%2A%28x%2B3%29 Multiply both sides by 2.
2x%5E2%2B10x%2B12+=+b%2A%28x%2B3%29 Factor the left side.
%282x%2B4%29%28x%2B3%29+=+b%2A%28x%2B3%29 Divide both sides by (x+3)
%28%282x%2B4%29%2Across%28%28x%2B3%29%29%29%2Fcross%28%28x%2B3%29%29+=+b Cancel the common factors.
highlight%28b+=+2x%2B4%29