Question

A floral design on the floor of a building consists of 280 tiles. Each tile is in the shape of a parallelogram
of altitude 3 cm and base 5 cm. Find the cost of polishing the design at the rate of 50 paise per cm.​

Answer 1

Dimension of a tile:

Given, altitude = 3 cm

base = 5 cm

Area of the tile = 1/2 × base × height

= 1/2 × 5cm × 3cm

= 15/2 cm^2 or 7.5cm^2

Area required by 280 tiles = 7.5 cm^2 × 280

= 2100 cm^2

Cost of polishing per cm^2 of the design = ₹ 50

So, Cost of polishing 2100 cm^2 of the design = ₹ 50 × 2100 = ₹ 1,05,000