Question

Paul needs to buy paint to cover all outside surfaces of his shed, depicted below. How much area, in square yards, does he need to cover?

Answer 1

Answer:

Area = 145.7 Square yards

Step-by-step explanation:

Since there is no picture attached to depict the house and its dimension, I am taking values of a similar problem.

Dimensions of Shed

2 walls with dimensions of 15 ½ ft. by 12 ft.

2 walls with dimensions of 25 ¼ ft. by 12 ft.

Ceiling with dimensions of 15 ½ ft. by 25 ¼ ft.

2 windows that are each 2 ft. by 4½ ft. as well as an 8-ft. by 5-ft. door

Solution

We need to find the total wall area and ceiling area which when combined will give us the total area shed's outer surface that needs to be painted.

For total area of the wall, we need to first find the sum of area for each wall and subtract area of windows and door

Wall Area = Area of 1st two walls+Area of other two walls-Area of 2 windows-Area of door=[15.5(12)(2)] + (25.25) (12) (2) - (2)(2) (4.5) -(8)(5)

Wall Area = 371 + 606 - 17 - 40

Wall Area = 920 square ft = 102.2 square yards

Ceiling Area is just the area of the ceiling

Ceiling Area = (15.5) (25.25 )

Ceiling Area = 391.375 square ft= 43.486 square yard

Total Area = Wall Area+Ceiling Area =102.2+43.486=145.7 Square yards

Which is the area paul needs to cover with paint.

Note: Converted Square foot to square yard as the problem requires that.