Area Calculations | MCQs

Explanation

Number of tiles on one side of the room = 21 tiles.

Total tiles = B21×4= 84.

Since 4 tiles at each corner are shared by both rows, subtract these: 84−4= 80 tiles.

Explanation

To find the area of the strip:

1. Calculate the area of the larger rectangle (including the strip):

New length = 82 + 2_4 = 90 cm

New width = 75 + 2_4 = 83 cm

Area of larger rectangle = 90 * 83 = 7470 cm²

2. Calculate the area of the original rectangle:

Area = 82 * 75 = 6150 cm²

3. Find the area of the strip:

Area of strip = Area of larger rectangle - Area of original rectangle

= 7470 - 6150

= 1320 cm²

Explanation

To find the total number of tiles required, we need to convert the floor dimensions from feet to inches and then divide the total area by the area of a single tile.

Floor dimensions:

5 feet = 5 x 12 = 60 inches (length)

4 feet = 4 x 12 = 48 inches (width)

Total area = length x width = 60 x 48 = 2880 square inches

Tile dimension:

10 square inches

Now, divide the total area by the tile area:

2880 ÷ 10 = 288

So, 288 tiles of dimension 10 square inches are required to cover the floor.

Explanation

The area of a circular sector is given by the formula:

Area = (1/2) × r² × θ

where r is the radius and θ is the angle in radians.

This formula applies only when θ is in radians.