Question

Members of an art club paint a mural on a large wall that is shaped like a trapezoid. One base of the trapezoid is 20 feet long and the other base is half that length. A gallon of the paint they use covers 300 square feet. They use all but 1/5

of one gallon of the paint. What is the height of the wall? Complete the explanation.

Answer 1

Answer:

The height of the wall is 4 feet.

Step-by-step explanation:

Given data:

one base=a=20 feet

second base=b=half of base a=1/2 x 20=10 feet

A gallon of the paint they use covers 300 square feet and they use 1/5 of one gallon so,

Area of trapezoid=A=1/5 of 300= 1/5 x 300=60 square feet

Required:  

What is the height of the wall?

Solution:

As we know the formula for area of a trapezoid is;

$A=\frac{a+b}{2}*height$

putting values, we get

$60=\frac{20+10}{2}*height\\ \\60=\frac{30}{2} *height\\\\60=15*height\\\\dividing\ both\ sides\ by\ 15,\ we\ get\\\\height=60/15\\\\height=4feet$

The height of the wall is 4 feet.

Answer 2

Answer:

Height of the wall is 4 feet

Step-by-step explanation:

A look at the image attached will provide the necessary explanations