The length and breadth of a rectangular floor are 14.35 m and 11.55 m,

1.	The length and breadth of a rectangular floor are 14.35 m and 11.55 m, respectively. How many minimum number of square tiles would be required to cover it completely?1. 13532. 12713. 11074. 1435
Answer» Correct Answer - Option 1 : 1353 Given: The length and breadth of a rectangular floor are 14.35 m and 11.55 m Formula used: Area of Rectangle = Length × breadth Area of square = (Side)² Required number = Area of the floor/Area of each tile Concept used: We require minimum number of square tiles, the size of the tile is given as the H. C.F of two sides of the room. Calculation: Length of rectangular floor = 14.35 × 100 = 1435 cm Breadth of rectangular floor = 11.55 × 100 = 1155 cm According to the question: 1155 = 3 × 5 × 11 × 7 1453 = 5 × 7 × 41 H. C. F = 5 × 7 = 35 Now, Required number = Area of the floor/Area of each tile ⇒ (Length × breadth)/(Side)2 ⇒ (1435 × 1155)/(35 × 35) ⇒ 41 × 33 = 1353 ∴ The minimum number of square tiles are 1353.

The length and breadth of a rectangular floor are 14.35 m and 11.55 m, respectively. How many minimum number of square tiles would be required to cover it completely?1. 13532. 12713. 11074. 1435

Answer» Correct Answer - Option 1 : 1353

Given:

The length and breadth of a rectangular floor are 14.35 m and 11.55 m

Formula used:

Area of Rectangle = Length × breadth

Area of square = (Side)²

Required number = Area of the floor/Area of each tile

Concept used:

We require minimum number of square tiles, the size of the tile is given as the H. C.F of two sides of the room.

Calculation:

Length of rectangular floor = 14.35 × 100 = 1435 cm

Breadth of rectangular floor = 11.55 × 100 = 1155 cm

According to the question:

1155 = 3 × 5 × 11 × 7

1453 = 5 × 7 × 41

H. C. F = 5 × 7 = 35

Now,

Required number = Area of the floor/Area of each tile

⇒ (Length × breadth)/(Side)2

⇒ (1435 × 1155)/(35 × 35)

⇒ 41 × 33 = 1353

∴ The minimum number of square tiles are 1353.