# calculus

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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?

• calculus -

This is not calculus

a) Plug x = 5 into
A = x^2 + 5x + 6 = 25 + 25 + 6 = __

b) A(x) = (x+2)(x+3)
= (1/2)(base length)(height)
= (1/2)(base length)(x+3)

Base length = 2*A/(x+2)

Use the result of (a) for the area, A.

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