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

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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

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step-by-step explanation:

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