SOLUTION: The triangular entrance to a tent is 2 feet taller than it is wide. the area of the entrance is 12feet squared. find the height and the base.

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Question 362326: The triangular entrance to a tent is 2 feet taller than it is wide. the area
of the entrance is 12feet squared. find the height and the base.

Answer by HasanSahin(52) About Me  (Show Source):
You can put this solution on YOUR website!
The area is (base length*height)/2 as height line intersects the base line perpendicularly. The taller line is height and wide is the base length.
x = base, x+2 = height So that >> (x*(x+2))/2 = 12 >> x^2 +2x -24= 0 >> x = 4 or x = -6 but we can not choose negative value so that x must be 4!
Therefore base = 4 and height = 6 feet.
RF.