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hjlf
3 years ago
5

Find the PERIMETER and the AREA of the following figure, 16 ft 8 ft 10 ft

Mathematics
1 answer:
Fed [463]3 years ago
4 0

9514 1404 393

Answer:

  • perimeter: 36 +16√5 ft ≈ 71.777 ft
  • area: 288 ft²

Step-by-step explanation:

<u>Perimeter</u>

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

__

<u>Area</u>

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

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