8
QuizMultiple Choice

Area and Perimeter of Triangles — Quiz

Question 8 • Precalculus

Triangle LMN has sides measuring 7 meters and 6 meters and a perimeter of 16 meters. Heron’s formula: Area is equal to square root of s open paren s minus A close paren open paren s minus b close paren open paren s minus c close paren end root What is the area of triangle LMN ? Round to the nearest square meter.

Answer
A
34 square meters
B
9 square meters
C
3 square meters
D
28 square meters

Explanation

The third side is 16 − 7 − 6 = 3 meters. The semiperimeter is 16 ÷ 2 = 8 meters, so Heron’s formula gives an area of √(8 × (8 − 7) × (8 − 6) × (8 − 3)) = √80 ≈ 8.94 square meters. Rounded to the nearest square meter, the area is 9 square meters, choice B.

AI-written and checked against the verified answer.

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