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
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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 = a2 = (43)2 Given: Area of triangle = $\frac{1}{2}$ × a2 $\therefore$ Area of triangle = $\frac{1}{2}$ × 432 = 924.5 cm2 Hence, the correct answer is 924.5.
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Question : The sides of a triangle are 20 cm, 21 cm, and 29 cm. The area of the triangle formed by joining the midpoints of the sides of the triangle will be:
Option 1: $67 \frac{2}{3}$ cm2
Option 2: $52 \frac{1}{2}$ cm2
Option 3: $47 \frac{1}{2}$ cm2
Option 4: $58 \frac{1}{3}$ cm2
Question : Half of the perimeter of a rectangle is 30 cm. If the length of the rectangle is 6 cm more than its breadth, then what is the area of the rectangle?
Option 1: 216 cm2
Option 2: 250 cm2
Option 3: 185 cm2
Option 4: 195 cm2
Question : The sides of a triangle are of length 8 cm, 15 cm, and 17 cm. Find the area of the triangle.
Option 1: 65 cm2
Option 2: 75 cm2
Option 3: 60 cm2
Option 4: 70 cm2
Question : The length of the base of a triangle is 10 cm and its altitude from the same base is 8 cm. What is the area of the triangle?
Option 1: 30 cm2
Option 2: 40 cm2
Option 3: 50 cm2
Option 4: 80 cm2
Question : If the altitude of a triangle is 8 cm and its corresponding base is 12 cm, then the area of the triangle will be:
Option 1: 96 cm2
Option 2: 48 cm2
Option 3: 84 cm2
Option 4: 24 cm2
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