We need to find the height of the parallelogram h. We know that its base is (x+4) yards and its area is (5x+20) square yards. Let's draw a diagram to illustrate the situation.
Recall that the area of a parallelogram is the product of its base and its height.
A=bh
We can substitute A= (5x+20) and b= (x+4) into this formula and solve for h, the height of the parallelogram. Let's do it!
Notice that we divided both sides of the equality by a term with an unknown variable. The term that we divided by is the length of the base, which means that it cannot equal 0. This allows us to perform the division that includes a variable. We found that the height of the parallelogram is 5 yards.
