Question

1. Kara wants to paint the four outside walls of

her dog's house. She will not paint the roof or
the door on the front of the house. What is the
area of the surface that Kara needs to paint?

Answer 1

33

Explanation:

4×4=16

7×3=21

21+16= 37

2×2=4

37-4=33

Answer 2

The total area of the surface that Kara needs to paint is
`\(70 \text{ ft}^2\)`. This includes the front wall excluding the door area, the back wall, and both side walls.

To calculate the total area Kara needs to paint, we need to consider the area of the front and back walls as well as the area of both side walls. We will subtract the area of the door from the front wall since it will not be painted.

Here are the steps to calculate the total area:

1. Calculate the area of the front wall and subtract the area of the door:

- Front wall area:
`\(4 \text{ ft} * 4 \text{ ft} = 16 \text{ ft}^2\)`

- Door area:
`\(2 \text{ ft} * 2 \text{ ft} = 4 \text{ ft}^2\)`

- Paintable area on the front wall:
`\(16 \text{ ft}^2 - 4 \text{ ft}^2 = 12 \text{ ft}^2\)`

2. The back wall is the same size as the front wall but without a door:

- Back wall area:
`\(4 \text{ ft} * 4 \text{ ft} = 16 \text{ ft}^2\)`

3. Calculate the area of one side wall and multiply by 2 for both sides:

- Side wall area (each):
`\(3 \text{ ft} * 7 \text{ ft} = 21 \text{ ft}^2\)`

- Both side walls:
`\(21 \text{ ft}^2 * 2 = 42 \text{ ft}^2\)`

4. Add the areas of the front, back, and side walls to get the total paintable area:

- Total paintable area:
`\(12 \text{ ft}^2 + 16 \text{ ft}^2 + 42 \text{ ft}^2\)`

Now, let's calculate the total area.

The total area of the surface that Kara needs to paint is
`\(70 \text{ ft}^2\)`. This includes the front wall excluding the door area, the back wall, and both side walls.