Question : The two parallel sides of a trapezium are 17 cm and 15 cm, respectively. If the height of the trapezium is 6 cm, then its area (in m2) is:
Option 1: 9.6
Option 2: 960
Option 3: 0.96
Option 4: 0.0096
Correct Answer: 0.0096
Solution : The area of a trapezium = $\frac{1}{2}$ × sum of lengths of parallel sides × height Substituting the given values, The area of the trapezium = $\frac{1}{2}$ × (17 + 15) × 6 = 96 cm2 We know that, 1 m2 = 10,000 cm2 Area = $\frac{96 \, \text{cm}^2}{10,000}$ = 0.0096 m2 Hence, the correct answer is 0.0096.
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Question : The two parallel sides of a trapezium are 27 cm and 13 cm, respectively. If the height of the trapezium is 7 cm, then what is its area in m2?
Option 1: 1.4
Option 2: 0.014
Option 3: 140
Option 4: 0.14
Question : The two parallel sides of a trapezium are 27 cm and 13 cm respectively. If the height of the trapezium is 8, then what is its area in m2?
Option 1: 0.032
Option 2: 0.056
Option 3: 0.016
Option 4: 0.32
Question : A field is in the shape of a trapezium whose parallel sides are 200 m and 400 m long, whereas each of the other two sides is 260 m long. What is the area (in m2) of the field?
Option 1: 72000
Option 2: 52000
Option 3: 48000
Option 4: 60000
Question : The difference between the semi-perimeter and the sides of ΔPQR are 18 cm, 17 cm, and 25 cm, respectively. Find the area of the triangle.
Option 1: $330\sqrt{510}$ cm2
Option 2: $230\sqrt{510}$ cm2
Option 3: $30\sqrt{510}$ cm2
Option 4: $130\sqrt{510}$ cm2
Question : The base of a solid right prism is a triangle whose sides are 9 cm, 12 cm, and 15 cm. The height of the prism is 5 cm. Then, the total surface area of the prism is:
Option 1: 180 cm2
Option 2: 234 cm2
Option 3: 288 cm2
Option 4: 270 cm2
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