Question

3
3. A drawing room is 7.4 m long, 5.6 m broad and 3.5 m high. There are
two windows; each measuring 1.5 m by 1 m and two doors, each
measuring 1.5 m by 2 m. Find the cost of white washing the wall of
this room at the rate of 15 per sq. m.​

Answer 1

..Question..

A drawing room is 7.4 m long, 5.6 m broad and 3.5 m high. There are two windows; each measuring 1.5 m by 1 m and two doors, each two windows; each measuring 1.5 m by 1 m and two doors, eachmeasuring 1.5 m by 2 m. Find the cost of white washing the wall of this room at the rate of 15 per sq m.

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..Answer..

Given ,

ㅤㅤ➪ Length of the room = 7.4 m

ㅤㅤ➪ Breadth of the room = 5.6 m

ㅤㅤ➪ Height of the room = 3.5 m

ㅤㅤ➪ Dimension of window = 1.5 × 1 m

ㅤㅤ➪ Dimension of the door = 2 × 1.5 m

☯︎ At first ,

ㅤㅤㅤ♧︎︎︎ area of the room ➪

➪ 2 ( lb + bh + hl )

➪ 2 [(7.4 × 5.6) + (5.6 × 3.5) + (3.5 × 7.4)]

➪ 2 ( 41.44 + 19.60 + 25.90 )

➪ 2 × 86.94

➪ 173.88 m²

☯︎ Again ,

ㅤㅤㅤ♧︎︎︎ area of window ➪

ㅤ➪ l × b

ㅤ

ㅤ➪ 1.5 × 1

ㅤ➪ 1.5 m²

Total windows = 2

ㅤㅤㅤㅤㅤㅤㅤ = 2 × 1.5 m²

ㅤㅤㅤㅤㅤㅤㅤ = 3 m²

☯︎ Again ,

ㅤㅤㅤ♧︎︎︎ area of the door

ㅤ➪ l × b

ㅤ➪ 2 × 1.5

ㅤ➪ 3 m²

Total doors = 2

ㅤㅤㅤㅤㅤ = 2 × 3 m²

ㅤㅤㅤㅤㅤ = 6 m²

☯︎ Also ,

We have to exclude the measurements of the ceiling and the floor

•°• Floor = l × b

ㅤㅤㅤㅤ➪ 7.4 × 5.6

ㅤㅤㅤㅤ➪ 41.44 m²

Again ,

➪ ceiling = l × b

ㅤㅤㅤㅤㅤ➪ 7.4 × 5.6

ㅤㅤㅤㅤㅤ➪ 41.44 m²

•°• total area of floor and ceiling ➪

ㅤㅤ➪ ( 41.44 + 41.44 ) m²

ㅤㅤ➪ 82.88 m²

♧︎︎︎ Excluding the area of floor , ceiling from the dimension of room , we get

ㅤ➪ ( 173.88 - 82.88 ) m²

ㅤ➪ 91 m²

Now ,

Cost of whitewashing per m² ➪ Rs 15

•°• cost of white" in 91 m² ➪ 91 × 15

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ ➪ Rs 1365 ✓

ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂

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Answer 2

..Question..

A drawing room is 7.4 m long, 5.6 m broad and 3.5 m high. There are two windows; each measuring 1.5 m by 1 m and two doors, each two windows; each measuring 1.5 m by 1 m and two doors, eachmeasuring 1.5 m by 2 m. Find the cost of white washing the wall of this room at the rate of 15 per sq

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..Answer..

Given ,

• Measure of room :- length= 7.4m, breadth= 5.6m & height= 3.5m
• Measure of window :- length= 1.5m, breadth= 1m
• Measure of door :- length= 2m, breadth= 1.5m
• Cost for white washing per $m^{2}$. = ₹15

To find :-

• Lateral Surface Area of the room.
• Area not to be painted.
• Area to be painted.
• Cost of white washing the walls.

$Sol^{n}$ :-

• Lateral Surface Area = 2 h ( l + b )

                                           = 2 × 3.5 (7.4 +5.6)

ㅤㅤㅤ                                 = 2 × 3.5 ( 13 )

                                            = 7 × 13

                                            = 91 $m^{2}$

• Area not to be painted = Area of windows + Area of doors

                                               = 1.5 × 1 + 1.5 × 2

                                               = 1.5 + 3

                                               = 4.5$m^{2}$

• Area to be painted = Lateral Surface Area - region not to be painted

                                        = 91 - 4.5

                                        = 86.5$m^{2}$

Cost of white washing the walls = area to be painted × Cost for white washing per $m^{2}$

                                                     = ₹1297.5

                                                                              ∴ White Washing The Walls Will Take ₹1297.5

                                             

                    ꧁ ANAAYA×JAIN ꧂

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