Question

A hall with length 48m with breath 12m requires 64 square shaped tiles what will be perimeter of each tile

Answer 1

Step-by-step explanation:

Given :-

A hall with length 48m with breath 12m requires 64 square shaped tiles.

To find :-

What will be perimeter of each tile ?

Solution :-

Given that

The length of the hall (l) = 48 m

The breadth of the hall (b) = 12 m

We know that

Area of a rectangle = lb sq.units

Area of the given hall = 48×12 sq.m

=> Area = 576 sq.m ----------(1)

Given that

The number of tiles fitted in the hall = 64 square shaped tiles

Area of the hall = area of the 64 square shaped tiles

We know that

Area of a square whose side is a units

= a² sq.units

Area of 64 square shaped tiles

= 64×a² sq.m ---------(2)

From (1)&(2)

=> 64×a² = 576

=> a² = 576/64

=> a² = 9

=> a =±√9

=> a = ±3

Since the side cannot be negative.

=> a = 3 m

Side of the square shaped tile = 3 m

We know that

Perimeter of a square whose side is a units

= 4a units

Perimeter of the each tile = 4×3 m

= 12 m

Answer:-

Perimeter of the each tile is 12 m

Used formulae:-

→ Area of a rectangle = lb sq.units

• l = length
• b = breadth

→ Area of a square whose side is a units

= a² sq.units

→ Perimeter of a square whose side is a units

= 4a units