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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