Alberto is painting a large triangle on one wall of his bedroom. The base of the triangle is 4 ft, and the height is 8 ft. It takes 0.2 quart of paint to cover 1 square foot. How many quarts of paint does Alberto use?

A0.8 qt
B1.6 qt
C3.2 qt
D6.4 qt

Verified Answer :

Answer:

Option C. \(3.2\ qt\)

Step-by-step explanation:

Step 1

Find the area of triangle

we know that

The area of a triangle is equal to

\(A=\frac{1}{2}bh\)

where

b is the base of triangle

h is the height of triangle

In this problem we have

\(b=4\ ft\)

\(h=8\ ft\)

substitute in the formula

\(A=\frac{1}{2}(4)(8)=16\ ft^{2}\)

Step 2

By proportion

\(\frac{0.2}{1}\frac{qt}{ft^{2}}=\frac{x}{16}\frac{qt}{ft^{2}}\\ \\x=16*0.2\\ \\x=3.2\ qt\)

Answer:

C 3.2

Step-by-step explanation:

I know because I took the test in K12 and got it right, Have a great life.