SOLUTION: Area of Sail: The area in square meters for a triangular sail is given by A(x) = x2 + 5x + 6 A. Find A(5) B. If the height of the sail is x + 3 meters, then what is the leng

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Question 201850: Area of Sail: The area in square meters for a triangular sail is given by
A(x) = x2 + 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?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If:
A%28x%29+=+x%5E2%2B5x%2B6
A) Find A(5)
A%285%29+=+5%5E2%2B5%2A5%2B6
A%285%29+=+25%2B25%2B6
highlight%28A%285%29+=+56%29
B) If the height (h) of the triangular sail is (x+3) meters, then what is the length of the base (b) of the sail?
Start with the formula for the area of a triangle:
A+=+%281%2F2%29b%2Ah Substitute A+=+x%5E2%2B5x%2B6 and h+=+x%2B3
x%5E2%2B5x%2B6+=+%281%2F2%29%2Ab%2A%28x%2B3%29 Factor the trinomial on the left side.
%28x%2B2%29%28x%2B3%29+=+%281%2F2%29%2Ab%2A%28x%2B3%29 Divide both sides by (x+3).
%28x%2B2%29%2Across%28%28x%2B3%29%29%2Fcross%28%28x%2B3%29%29+=+%281%2F2%29b Cancel the common factors on the left side.
x%2B2+=+%281%2F2%29b Multiply both sides by 2.
2x%2B4+=+b or highlight%28b+=+2x%2B4%29