Question : Parallel sides of a trapezium are 21 cm and 14 cm and its area is 875 cm2. What is the distance between parallel sides?
Option 1: 45 cm
Option 2: 60 cm
Option 3: 50 cm
Option 4: 65 cm
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Correct Answer: 50 cm
Solution : Given, the parallel sides of a trapezium are 21 cm and 14 cm and its area is 875 cm2 Area of trapezium = $\frac{1}{2}\times (a+b)\times h$ where $a$ and $b$ are parallel sides and $h$ is the distance between parallel sides. So, $\frac{1}{2}\times(21+14)\times h=875$ ⇒ $h=50$ Hence, the correct answer is 50 cm.
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Question : The lengths of two parallel sides of a trapezium are 15 cm and 20 cm. If its area is 175 cm2, then its height is:
Option 1: 15 cm
Option 2: 10 cm
Option 3: 20 cm
Option 4: 25 cm
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 lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium is 4 cm, then its area is:
Option 1: 28 cm
Option 2: 28 sq. cm
Option 3: 30 sq. cm
Option 4: 30 cm
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 : The hypotenuse of a right-angled triangle is 39 cm and the difference of the other two sides is 21 cm. Then, the area of the triangle is:
Option 1: 270 cm2
Option 2: 450 cm2
Option 3: 540 cm2
Option 4: 180 cm2
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