SOLUTION: Area of a 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 len

Question 321131: Area of a 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 nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Area of a sail. The area in square meters for a triangular
sail is given by A(x) = x2 + 5x + 6.
a) Find A(5)
Plug into formula:
A(x) = x^2 + 5x + 6
A(5) = 5^2 + 5(5) + 6
A(5) = 25 + 25 + 6
A(5) = 56 square meters
.
b) If the height of the sail is x + 3 meters, then what is
the length of the base of the sail?
Since the sail is triangular, the area is:
area=(1/2)bh
x^2+5x+6 = (1/2)b(x+3)
2x^2+10x+12 = b(x+3)
(2x^2+10x+12)/(x+3) = b (base)

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