The slant height for the roof designed is; 24 inches
How to find the dimensions of a Roof?
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.
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