Question

A verandah of width 4.75 m is constructed all along outside of a room which is 20.5 m long and 15.5 m wide, find a)the area of verandah. b) the cost of putting the tiles in the verandah the rate of Rs. 20 per m square​

Answer 1

Answer

$\green{\bigstar}$Area of Verandah = $\boxed{\sf{\red{432.25 ~m^2}}}$

$\green{\bigstar}$ Cost putting the tiles in the verandah the rate of Rs. 20 per m square =$\boxed{\sf{\red{Rs.8,645 }}}$

• Given

• Width of the Verandah = 4.75 m
• Dimensions of a room -
• Length of the room = 20.5 m
• Breadth of the room = 15.5 m

• To find

• Area of the Verandah
• Cost of putting the tiles in the Verandah at the rate of Rs. 20 per m²

• Concept

• We have the value of dimensions of a room. Firstly, we will find the area of the room.
• Then, we have the width of the Verandah add (4.5 + 4.5) m in both length and breadth. That will be the dimensions of the (Room + Verandah).
• Area of Verandah = Area of room + Verandah - Area of room.
• To find the cost, multiply the area of Verandah with Rs.20.

• Solution

• Area of room

$\purple{\bigstar}$ $\boxed{\underline{\sf{Area = length \times breadth }}}$

Substitute the given values,

⟶ 20.5 × 15.5

⟶ 317.75 m²

$\dag$ Area of room = 317.75 m²

• Dimensions of the verandah + room -

• Length = 20.5 + 4.75 + 4.75 = 30 m
• Breadth = 15.5 + 4.75 + 4.75 = 25 m

• Area of the Room including Verandah

$\purple{\bigstar}$ $\boxed{\underline{\sf{Area = length \times breadth}}}$

⟶ 30 × 75

⟶ 750 m²

• Area of room + Verandah = 750 m²

Area of Verandah = Area of Room + Verandah - Area of room

⟶ (750 - 317.75) m²

⟶ 432.25 m²

• Area of Verandah = 432.25 m²

Cost putting the tiles in the verandah the rate of Rs. 20 per m square = 432.25 × 20 = Rs. 8,645