Question
Consider a right trapezoidal field. Its two parallel sides are 30 meters and 50 meters long. One of its non-parallel sides, which acts as the height, measures 20 meters. What is the area of this field?
This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is
800 square meters
Area Calculation for a Right Trapezoidal Field
Problem Analysis
The question asks for the area of a right trapezoidal field. We are given:
- Length of the first parallel side (base $a$): 30 meters
- Length of the second parallel side (base $b$): 50 meters
- Height ($h$), which is also one of the non-parallel sides: 20 meters
A right trapezoid has one non-parallel side perpendicular to the bases, which serves as the height.
Area Calculation
The formula for the area of a trapezoid is:
$ A = \frac{1}{2}(a + b)h $Substitute the given values into the formula:
- $a = 30$ m
- $b = 50$ m
- $h = 20$ m
Calculation:
$ A = \frac{1}{2}(30 \text{ m} + 50 \text{ m}) \times 20 \text{ m} $ $ A = \frac{1}{2}(80 \text{ m}) \times 20 \text{ m} $ $ A = 40 \text{ m} \times 20 \text{ m} $ $ A = 800 \text{ square meters} $The area of the trapezoidal field is 800 square meters.
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