16
QuizMultiple Choice

Area and Perimeter of Triangles — Quiz

Question 16 • Precalculus

Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of triangle PQR ? Round to the nearest square foot. 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

Answer
A
6 square feet
B
22 square feet
C
19 square feet
D
7 square feet

Explanation

The third side is 24 − 9 − 10 = 5 feet. The semiperimeter is 24 ÷ 2 = 12 feet, so Heron’s formula gives an area of √[12(12 − 9)(12 − 10)(12 − 5)] = √504 ≈ 22.45 square feet. Rounded to the nearest square foot, the area is 22 square feet, choice D.

AI-written and checked against the verified answer.

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