Question

Chandresh is helping his father paint the fence in their back yard. The fence is represented by the shaded part of the diagram below. They will paint only the surfaces of the fence that face the yard. They will apply 2 coats of paint. One can of paint covers 500 square feet. What is the area Chandresh and his father will paint, and how many cans of paint must they buy to complete the job?
A. The total area painted is 432 ; they must buy one can of paint.

B. The total area painted is 864 ; they must buy two cans of paint.

C. The total area painted is 1728 ; they must buy four cans of paint.

D. The total area painted is 2080 ; they must buy five cans of paint.

Answer 1

B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = $(length)(width)= (20)(8) =160,$

The area of the 10 feet long wall = $(length)(width)= (10)(8) =80,$

The area of the 5 feet long wall = $(length)(width)= (5)(8) =40,$

The area of the 4 feet long wall = $(length)(width)= (4)(8) =32,$

The area of the 15 feet long wall = $(length)(width)= (15)(8) =120.$

The area of all the walls = 432 square feet.

Since there are two sides for every wall, total area = $432(2)=864$ square feet.

Step 3:

If one paint can covers 500 square feet,

the number of cans required to paint 864 square feet = $\frac{864}{500} = 1.728$ cans.

so 2 paint cans are needed to paint 864 square feet which is option B.