Question

A man has to build a rhombus shaped swimming pool. One of the diagonal is 13 m and the other is twice the first one. Then find the area of the swimming pool and also find the cost of cementing the floor at the rate of ₹ 15 per sq.cm

Answer 1

Let the first diagonal d₁ = 13 m

d₂ = 2 × 13 m

= 26 m

Area of the rhombus = `1/2` × d₁ × d₂ sq.units

= `1/2` × 13 × 26 m² 

= 169 m²

Cost of cementing 1 m² = ₹ 15

Cost of cementing 169 m² = ₹ 169 × 15 = ₹ 2,535

Cost of cementing = ₹ 2,535