Question

a hall is of length 30m and breadth 20m.it is surrounded by a 3m wide verandah on the outside find the area of verandah also find the number of times of dimension of 50cm×50cm which will be required to cover the verandah​

Answer 1

Given :-

Length of the hall = 30 m

Breadth of the hall = 20 m

Width of the hall = 3 m

Dimension of each tile = 50 cm  × 50 cm

To Find :-

Area of the hall.

The dimensions of the verandah.

The area of the verandah.

Number of tiles required to cover the verandah.

Analysis :-

Add the width to the length and breadth of the hall and find it's area.

Using the formula, find the area of the hall.

Subtract the area of hall from the area including the width in order to get the area of the verandah.

Find the area of each tile and divide the area of the verandah by the area of tiles to get the tiles required.

Solution :-

We know that,

• l = Length
• b = Breadth
• w = Width

Finding the area including the verandah,

Length including the verandah = Length + width

= 30 + 3 + 3 = 36 m

Breadth including verandah = Breadth + width

= 20 + 3 + 3 = 26 m

Now finding the area of the hall,

$\underline{\boxed{\sf Area \ of \ rectangle=Length \times Breadth}}$

Given that,

Length including verandah (l) = 36 m

Breadth including verandah (b) = 26 m

Substituting their values,

Area including the verandah = 36 × 26

Area = 936 m²

Therefore, the area including the verandah is 936 m²

Next finding the area of the hall,

Given that,

Length of the hall (l) = 30 m

Breadth of the hall (b) = 20 m

Area of a rectangle = Length × Breadth

Substituting them,

Area of the hall = 30 × 20

Area = 600 m²

Therefore, the area of the hall is 600 m²

Area of the verandah = Area including the verandah – Area of the hall

Substituting their values,

Area of the verandah = 936 – 600

Area = 336 m²

Given that, dimension of each tile = 50 cm  × 50 cm

Converting to meters,

100 cm = 1 m

50 cm = 0.5 m

Then, now

Area of a square tile = 0.5 × 0.5 = 0.25 m

Find number of tiles,

Number of tiles = Area of the verandah ÷ Area of each square tile

Number of tiles = 600 ÷ 0.25

Number of tiles = 1344

Therefore, 1344 tiles are required to cover the verandah.