The area in square meters for a triangular sail is given byA(x) = x 2 + 5x + 6 h

Question

The area in square meters for a triangular sail is given byA(x) = x2 + 5x + 6 height of sail is x + 3m , A= x2 + 5x +6m2 If the height of the sail is x+ 3 meters, then what is thelength of the base of the sail? . The area in square meters for a triangular sail is given byA(x) = x2 + 5x + 6 height of sail is x + 3m , A= x2 + 5x +6m2 If the height of the sail is x+ 3 meters, then what is thelength of the base of the sail? . If the height of the sail is x+ 3 meters, then what is thelength of the base of the sail?

Explanation / Answer

If the height of the sail is x+3 meters, then what is thelength of the base of the sail? Since it is triangular, we know the area is: (1/2)bh where b is base h is height . Area from formula: x^2 +5x+6 Area from definition of area of a triangle: (1/2)b(x+3) . Set them equal to each other: x^2 +5x+6 = (1/2)b(x+3) (x+3)(x+2) = (1/2)b(x+3) (x+2) = (1/2)b 2(x+2) = b 2x+4 = b . So, length of the base of the sail is 2x+4 meters .

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