Mathematics

The figure (i) given below shows the cross-section of the concrete structure with the measurements as given. Calculate the area of cross-section.

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From figure,

The figure consist of a trapezium and a rectangle.

Area of trapezium = $\dfrac{1}{2} \times$ (sum of parallel sides) × distance between them

= $\dfrac{1}{2}$ × (0.6 + 1.5) × (1.2 + 2.4)

= $\dfrac{1}{2}$ × 2.1 × 3.6

= 2.1 × 1.8

= 3.78 m².

Area of rectangle = l × b

= 2.4 × 0.3 = 0.72 m².

Area of cross section = Area of trapezium + Area of rectangle

= 3.78 + 0.72 = 4.5 m².

Hence, area of cross-section = 4.5 m².

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