Question 35558: A trianglular sail has an area of X^2 + 5x + 6 square meters plus a height of x + 3 meters. Find the length of the sails base. Answer by narayaba(40) (Show Source):
You can put this solution on YOUR website! area of triangle = (1/2)*b*h where b is the length of base and h is the height
area is given to be x^2 +5x + 6
height = x+3
1/2*b*(x+3) = x^2 + 5x + 6
The right side x^2 +5x + 6 can be factorised as (x+3)(x+2)
(1/2)*b*(x+3) = (x+3)(x+2)
cancelling (x+3) on both sides leaves
(1/2)*b = x+2
b = 2*(x+2) = 2x+4
The length of the base is 2x+4
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