Question : In the given figure, PQRS is a trapezium in which PM || SN, NR = 9 cm, PS = 12 cm, QM = NR and NR = SN. What is the area (in cm²) of a trapezium?

Option 1: 170
Option 2: 182
Option 3: 189
Option 4: 191

Question

Question : In the given figure, PQRS is a trapezium in which PM || SN, NR = 9 cm, PS = 12 cm, QM = NR and NR = SN. What is the area (in cm²) of a trapezium?

Option 1: 170

Option 2: 182

Option 3: 189

Option 4: 191

Team Careers360 · Accepted Answer

Correct Answer: 189

Solution : The area of a trapezium = $\frac{1}{2}$ × (sum of parallel sides) × height
From the figure,
The area of a trapezium = $\frac{1}{2}$ × (PS + QR) × SN
= $\frac{1}{2}$ × (PS + PS + NR × 2) × NR
= $\frac{1}{2}$ × (PS + PS + NR × 2) × NR
= (PS + NR) × NR
= (12 + 9) × 9
= 21 × 9
= 189 cm²
Hence, the correct answer is 189.

Popular Searches

Question : In the given figure, PQRS is a trapezium in which PM || SN, NR = 9 cm, PS = 12 cm, QM = NR and NR = SN. What is the area (in cm²) of a trapezium?

Option 1: 170
Option 2: 182
Option 3: 189
Option 4: 191

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Option 2: 112 cm²
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Popular Searches

Question : In the given figure, PQRS is a trapezium in which PM || SN, NR = 9 cm, PS = 12 cm, QM = NR and NR = SN. What is the area (in cm2) of a trapezium? Option 1: 170Option 2: 182Option 3: 189Option 4: 191

Related Questions

Question : The sides of a triangle are 16 cm, 12 cm, and 20 cm. Find the area.Option 1: 64 cm2Option 2: 112 cm2Option 3: 96 cm2Option 4: 81 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 cm2Option 2: 25 cm2Option 3: 6 cm2Option 4: 11 cm2

Question : What is the area of a rhombus whose diagonals are 8 cm and 13 cm?Option 1: 52 cm2Option 2: 96 cm2Option 3: 44 cm2Option 4: 84 cm2

Question : If the volume of a cube is 1728 cm3, then what is the total surface area of the cube?Option 1: 804 cm2Option 2: 729 cm2Option 3: 864 cm2Option 4: 926 cm2

Question : The perimeter of a sector of a circle of radius 7.4 cm is 20.6 cm. The area of this sector is:Option 1: 42.92 cm2Option 2: 5.8 cm2Option 3: 10.73 cm2Option 4: 21.46 cm2