In a trapezoidal field PQRS, PQ || RS, PQ = 12 m, RS = 22 m, the distance between PQ and RS is 14m. Two crops are to be sown in equal areas. Find the area available for each crop.

Question

Question

This question was previously asked in

RRB Group D Previous Year Paper (Held on: 26 Aug 2022 Shift 2)

Answer 1

Given:

In a trapezoidal field PQRS, PQ || RS

PQ = 12 m

RS = 22 m

The distance between PQ and RS = 14 m

Formula used:

Area of trapezoid = \(\dfrac{1}{2} \times (a + b) \times h\)

Where, a = PQ, b = RS, h = distance between PQ and RS

Calculation:

Area of trapezoid = \(\dfrac{1}{2} \times (12 + 22) \times 14\)

⇒ Area of trapezoid = \(\dfrac{1}{2} \times 34 \times 14\)

⇒ Area of trapezoid = 17 × 14

⇒ Area of trapezoid = 238 m²

Area for each crop = \(\dfrac{238}{2}\)

⇒ Area for each crop = 119 m²

∴ The correct answer is option 1.

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