Question

the area of a triangular block is 64 sq in. if the base of the triangle is twice the height, how long are the base and the height of the triangle

Answer 1

The area of a triangular block is given the formula:
Area = bh/2

Let h = height
Let b = base = 2h

Area = bh/2
64 = (2h)(h) / 2
64 = 2h^2/2
64 = h^2
h = 8

So the the length of the base is
2h = 16
And the length of the height is
h = 8

So, height is equal to 8 in and the base is equal to 16.