Question

rosco needs to paint the wall in his living room. The rooms dimensions are 20 feet long by 15 feet wide with 8 foot tall ceilings. if 1 gallon of paint covers 350 square feet, how many gallons of paint is needed for 2 coats of paint?

Answer 1

Answer:

3.2 gallons

Explanation:

The dimension of the room

• Length= 20 feet

,

• Wide = 15 feet

,

• Height = 8 feet

First, we determine the Surface Area of the wall in the room.

$TS.A.=2(LH+WH)$

Substituting the given values, we have:

$\begin{gathered} TSA=2(20\times8+15\times8) \\ =2(160+120) \\ =2(280) \\ =560\text{ square f}eet \end{gathered}$

Since the room needs 2 coats of paint, the total surface area to be covered will be:

$\begin{gathered} =2\times560 \\ =1120\text{ square f}eet \end{gathered}$

Since 1 gallon of paint covers 350 square feet, the number of gallons needed will be:

$\begin{gathered} =\frac{1120}{350}\text{ gallons} \\ =3.2\text{ gallons} \end{gathered}$