Answer: D. 28 feet
Step-by-step explanation:
The perimeter of the design is the total distance around it. Since each square on the graph represents 1 foot, then
Base of the design = 8 squares = 8 feet
Length of one side = 5 squares = 5 feet
Length of the other side = 5 squares = 5 feet
To determine the length of each side of the roof, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Opposite side = 3 feet
Adjacent side = 4 feet
Hypotenuse² = 4² + 3² = 16 + 9 = 25
Hypotenuse = √25 = 5 feet
Length of both sides of the room is
2 × 5 = 10 feet
Therefore,
Perimeter of the design = 8 + 5 + 5 + 10 = 28 feet
