Question

To tile the floor of a room of dimensions 8 m x 4.8 m, rhombus-shaped tiles of diagonals 16 cm and 12 cm costing *24 and square-shaped tiles of diagonal 16 cm costing ₹28 are available. Which type of tiles should be chosen to minimize the cost? How much can be saved by choosing the right type over the other?​

Answer 1

Certainly! Here's the information in plain text that you can copy:

1. **Area of the room:**

Area of the room = length × width

Area of the room = 8 m × 4.8 m

Area of the room = 38.4 m²

2. **Area each type of tile can cover:**

- For rhombus-shaped tiles:

Area of rhombus = 0.5 × diagonal₁ × diagonal₂

Area of rhombus = 0.5 × 16 cm × 12 cm

- For square-shaped tiles:

Area of square = 0.5 × diagonal²

Area of square = 0.5 × 16 cm × 16 cm

3. **Calculate the number of tiles needed:**

- For rhombus-shaped tiles:

Number of rhombus tiles = Area of the room / Area of one rhombus tile

- For square-shaped tiles:

Number of square tiles = Area of the room / Area of one square tile

4. **Calculate the cost for each type of tile:**

- For rhombus-shaped tiles:

Cost for rhombus tiles = Number of rhombus tiles × Cost per rhombus tile

- For square-shaped tiles:

Cost for square tiles = Number of square tiles × Cost per square tile

Now, compare the costs for both types of tiles and choose the one with the lower cost. Also, calculate the amount saved by choosing the less expensive option.