Question

A ground is in the form of isoceles trapezium with parallel sides measuring 42 m and 36 m long. The distance between the parallel sides is 30 m. Find the cost of levelling it at the rate of Rs 135 per sq. m.

Answer 1

Parallel sides of the trapezium a = 42 m; b = 36 m 

Also height h = 30 m 

Area of the trapezium = \(\frac{1}{2}\) x h x (a + b) sq. unit 

= \(\frac{1}{2}\) x 30 x (42 + 36) m²

= \(\frac{1}{2}\) x 30 x 78 m²

Area = 1,170 m²

Cost of levelling 1 m² = Rs 135

∴ Cost of levelling 1170 m² = Rs 1170 x 135 = Rs 1,57,950

Cost of levelling the ground = Rs 1,57,950