Question

word problem

A hall measures 16 m by 12 m. How many square tiles
side 25 cm will be required to pave its floor?
please explain

the answer is 3072​

Answer 1

Step-by-step explanation:

First find the area of the hall

16 × 12 = 192 m²

Find the area of a single tile in the same unit of area of the hall.

0.25 × 0.25 = 0.0625 m²

Divide hall area by single tile area

192/0.0625 = 3072 tile.

Answer 2

ANSWER:

RECTANGLE!

Let's assume the hall to be in a rectangular shape.

So, given :

length of the rectangular hall =16m

breadth of the rectangular hall =12m

To find:

Area of the rectangular hall.

Formulaes to be used:

1.) Area of rectangle = length × breadth.

2.) Area of square = (side)²

Soln:

Area of rectangular hall = l × b

(l = length & b = breadth)

Area of rectangular hall=16×12

Area of rectangular hall = 192m²

The area of the rectangular hall is 192 sq.m

Square tiles measuring 25cm is to be paved in the rectangular hall measuring 192m² (in area)

Side of the square = 25cm

Convert centimetre into metres

100 cm = 1m

25 cm = ?m

.•. 25 / 100 = 0.25 m

Now,the side of the square is 0.25m

Let's calculate the area of one square tile with sides 0.25m

Area of the square tile= (side)²

Area of the square tile= (0.25)²

Area of the square tile = 0.25×0.25

Area of the square tile = 0.0625 m²

Now, the number of square tiles with sides 0.25 m required to pave the rectangular hall measuring 192m² will be,

= Area of rectangular hall / Area of square

= (192 / 0.0625)m²

= 3072.

The number of square tiles required to pave the rectangular hall measuring 192m² is 3072 tiles.