Lucy decides to paint only the walls of 3 bedrooms in her house. Each room has a door, a closet door, and a window. She is only applying 1 coat of paint to the walls.Each room i…

Question

asked Feb 5, 2023 196k views

1 Answer

Marouane Gazanayi · Answer 1 · 2023-02-11T14:31:34+0000

Given:

Lucy decides to paint only the walls of 3 bedrooms in her house.

Each room is 14 feet by 12 feet with 8-foot ceilings.

Each door has dimensions of 6.5 feet by 2.5 feet.

Each window has dimensions of 4.5 feet by 3 feet.

1 gallon of paint will cover 350 square feet.

Paint is sold in 1-gallon containers.

Required:

We need to find the minimum number of 1-gallon containers needed for paint.

Step-by-step explanation:

The surface area of the walls of the rooms is

$SA=416\text{ ft}^2$

Since you dont paint doors and windows, you subtract the surface area of them.

The doors have a surface area of

$6.5*2.5=16.25\text{ ft}^2$

The window has a surface area of

$4.5*3=13.5\text{ ft}^2$
$W\text{ need to paint 416-\lparen16.25+13.5\rparen= 370 ft}^2.$

$\text{ Since there are 3 rooms you multiply this by 3 to get 3}*370\text{ ft}^2=1110\text{ ft}^2.$

Divide 1110 by 350 since 1 gallon of paint will cover 350 square feet.

$(1110)/(350)=3.1714\text{ gallon}$

Since you cannot get part of a gallon you need 4 gallons.

Final answer:

4 gallons need to paint.