Question

A courtyard is 16 metres long and 8 metres broad. How many square tiles of side 40 centimeters are required to pave the courtyard?

• A. 600
• B. 700
• C. 800
• D. 900

Answer 1

Answer:

C. 800

Calculating Tiles for Courtyard Paving

Understanding the Problem

• The core task is to determine the number of square tiles needed to cover a rectangular courtyard.

• This involves calculating the area of both the courtyard and a single tile, and then dividing the courtyard's area by the tile's area.

Key Concepts and Formulas

• Area of a rectangle: Length × Breadth

• Area of a square: Side × Side

• Unit Conversion: It's crucial to use consistent units for area calculations.

Step-by-Step Calculation

Convert Units:

• The courtyard dimensions are given in meters (16m long, 8m broad).

• The tile side is given in centimeters (40 cm).

• Convert meters to centimeters: 1 meter = 100 centimeters.

• Courtyard Length = 16 m × 100 cm/m = 1600 cm

• Courtyard Breadth = 8 m × 100 cm/m = 800 cm

• Tile Side = 40 cm

Calculate Area of the Courtyard:

• Area = Length × Breadth

• Area = 1600 cm × 800 cm = 1,280,000 square centimeters (cm²)

Calculate Area of a Single Tile:

• Area = Side × Side

• Area = 40 cm × 40 cm = 1600 square centimeters (cm²)

Determine the Number of Tiles Required:

• Number of Tiles = (Area of Courtyard) / (Area of One Tile)

• Number of Tiles = 1,280,000 cm² / 1600 cm²

• Number of Tiles = 800