9514 1404 393
Answer:
- perimeter: 36 +16√5 ft ≈ 71.777 ft
- area: 288 ft²
Step-by-step explanation:
Perimeter
The perimeter is the total length of all the sides. The length of the horizontal sides is 8 ft + 10 ft = 18 ft. The length of the slant sides can be found using the Pythagorean theorem. For side length s, we have ...
s^2 = 8^2 + 16^2
s^2 = 64 +256 = 320
s = √320 = 8√5
Then the perimeter is ...
P = 2(8√5 + 18) = 36 +16√5 ≈ 71.777 . . . feet
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Area
The area is given by the formula ...
A = bh
where b is the base and h is the height.
A = (18 ft)(16 ft) = 288 ft²
