The base of a triangular garden measures 5.5 feet. It takes 33 pounds of mulch to cover the garden. If 4 pounds of mulch are needed to cover a square foot, what is the height of the garden?

F. 1.5 Ft

G. 3 Ft

H. 4 Ft

J. 6.6 Ft

Respuesta :

The dimensions given when you have a triangle is the base and height of the triangle. The formula for the area is

A = 0.5bh

The unknown here is h. We can determine that from the cost of mulch that covers the whole area of the triangle. The equation would be:

4A = 33

Substituting A = 0.5*5.5*h = 2.75h to the equation:

4(2.75h) = 33
11h = 33
h = 33/11
h = 3 feet