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Question : The area of a triangle is half the area of a square. The perimeter of the square is 172 cm. What is the area of the triangle (in cm2)?

Option 1: 924.5

Option 2: 1984

Option 3: 1849

Option 4: 992


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 924.5


Solution : The perimeter of the square = 172 cm
If a is the length of the side of the square then,
4a = 172
$\therefore$ a = $\frac{172}{4}$ = 43 cm
Now, area of square = a 2 = (43) 2
Given: Area of triangle = $\frac{1}{2}$ × a 2
$\therefore$ Area of triangle = $\frac{1}{2}$ × 43 2 = 924.5 cm 2
Hence, the correct answer is 924.5.

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