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Pls help me find perimeter and area of this triangle

Pls help me find perimeter and area of this triangle-example-1

1 Answer

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Answer:

  • Perimeter = 7 feet
  • Area = 2.0 square feet

Explanation:

You want the perimeter and area of the triangle shown.

Perimeter

The perimeter is the sum of the side lengths:

P = (1 ft 9 in) +(2 ft 4 in) +(2 ft 11 in) = (1 +2 +2) ft + (9 + 4 +11) in

P = 5 ft 24 in = 7 ft

The perimeter is 7 feet.

Area

The area is half the product of base and height:

A = (1/2)(2 ft 4 in)(1 ft 9 in) = (1 ft 2 in)(1 ft 9 in) = (1 1/6 ft)(1 3/4 ft)

A = (7/6)(7/4) ft² = 49/24 ft² = 2 1/24 ft² ≈ 2.04167 ft²

Rounded to 1 decimal place, the area is 2.0 square feet.

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Additional comment

The dimension 2 ft 4 in could be divided by 2, so we did that.

A foot is 12 inches, so 2 inches is 2/12 ft = 1/6 ft, and 9 inches is 9/12 ft = 3/4 ft.

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User Nickaknudson
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