Question

A gallon of latex paint can cover 400 square feet. Maria has a rectangular room whose dimensions are 22 feet by 17 ​feet, with 7​-foot ceilings. How many gallon containers of paint does she need to buy to paint two coats on each​ wall?

Answer 1

Answer:2.73 gallons of paint is needed.

Step-by-step explanation:

There are four walls in the room. The opposite walls are equal in length and width.

Maria has a rectangular room whose dimensions are 22 feet by 17 ​feet, with 7​-foot ceilings.

The formula for determining the area of a rectangle is expressed as

Area = length × width

Area of each of the longer sides would be 22 × 7 = 154ft². Therefore, Area of the 2 longer sides would be

2 × 154 = 308ft²

Area of each of the shorter sides would be 17 × 7 = 119ft². Therefore,. Area of the 2 shorter sides would be

2 × 119 = 238ft²

Total area = 308 + 238 = 546ft²

Since there would be 2 coats of paint on the wall, the wall would be painted twice. The total area becomes

546 × 2 = 1092 ft²

If a gallon of latex paint can cover 400 square feet, then the amount of paint needed would be

1092/400 = 2.73 gallons

Answer 2

So, we have 17(9) = 153 and 25(9) = 225

2(153 + 225) = 756

Since we need 2 coats, 2(756) = 1512

1512/400 = 3.78

Buying 3 gallons would cover 1200 square feet, so we'll need to buy a fourth to cover the rest and have some paint left over.

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