Observe the figure below and find the area of trapezium PQRS.

- AOption (a)
119 cm2
- BOption (b)
114 cm2
- COption (c)
108 cm2
- DOption (d)
102 cm2
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Correct answer
102 cm2
Why this answer is correct
Given:
Trapezium PQRST with sides PQ = 9 cm, PR = 15 cm, RS = 8 cm.
Formula used:
Area of trapezium = ½ × (Sum of parallel sides) × Height between parallel sides
Height2 = Hypotenuse2 - Base2
Calculation:
Here, the parallel sides are PQ = 9 cm and RS = 8 cm, and
Height2 = 152 - 92
Height2 = 225 - 81 = 144
Height = √144 = 12 cm
⇒ Area = ½ × (9 + 8) × 12
⇒ Area = ½ × 17 × 12
⇒ Area = 204/2 = 102 cm²
∴ The area of the trapezium PQRS is 102 cm².





















