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
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Correct Answer: 10 cm
Solution : The area of a trapezium, A = $\frac{1}{2}$ × h × (a + b), where h is the height, and a and b are the lengths of the parallel sides. We have, a = 15 cm, b = 20 cm, and A = 175 cm2 On substituting the values, we get, ⇒ 175 = $\frac{1}{2}$ × h × (15 + 20) $\therefore$ h = $\frac{175 \times 2}{35}$ = 10 cm Hence, the correct answer is 10 cm.
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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 : 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
Question : Two triangles XYZ and UVW are congruent. If the area of $\triangle$XYZ is 58 cm2, then the area of $\triangle$UVW will be:
Option 1: 58 cm2
Option 2: 116 cm2
Option 3: 29 cm2
Option 4: 15 cm2
Question : In an isosceles triangle, if the unequal side is 8 cm and the equal sides are 5 cm, then the area of the triangle is:
Option 1: 12 cm2
Option 2: 25 cm2
Option 3: 6 cm2
Option 4: 11 cm2
Question : The sides of a triangle are 16 cm, 12 cm, and 20 cm. Find the area.
Option 1: 64 cm2
Option 2: 112 cm2
Option 3: 96 cm2
Option 4: 81 cm2
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