Your dad says you can have a new puppy if you build the dog house. Before building, you need to determine the dimensions. The width of the base of the dog house is 4 ft, the height of the wall is 3 ft, and the length
of the base is 5 ft. With the dimensions for the base and walls, you need to decide on the height of the roof (represented by the dotted line in the image below). The triangle portion of the dog house formed by the
roof has two sides that are the same length.

After choosing the height for the roof, find the slant height of the roof using the dimensions provided. What is the slant height of the roof?
You are hoping to put shingles on the roof and need to know what the square footage of the roof will be. Use the dimensions to calculate the area of the roof.
Hint: Remember to find the area of the entire roof.

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AFOKE88 AFOKE88 · Answer 1 · 2022-08-27T08:04:36+02:00

The slant height for the roof designed is; 24 inches

Answer is 12 sq feet

Step by step

We are given;

Width of base of dog house = 4 ft

Height of wall = 3 ft

Length of base = 5ft

Thus;

Roof is 36 inches by 24 inches which is 3ft by 2 ft

One side of roof measures;

3 * 2 = 6 ft²

Total for the opposite sides is 12 sq feet

Let the roof peak have a 3 inch overhang over the entrance

Let the roof overhang the sides with 4 inches

To find the hypotenuse (diagonal of the roof), we will use the Pythagorean theorem.

a² + b² = c²

15² + 13² = c²

394 = c²

Take square root of both sides

c = 19.8 ≅ 20

Then we add 4 inches overhang to each side for total diagonal of 24 inches.

Read more about Roof Dimensions at; https://brainly.com/question/28200895

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