Find the cost of painting the 4 walls of a room having length 12m br

1.	Find the cost of painting the 4 walls of a room having length 12m breadth 10mand height 8m at the rate of 35 per m2.Rs 12,320Rs 12,340Rs 12,354Rs 12,960
Answer» align="absmiddle" ALT="\underline{ \underline{ \Large \pmb{\mathit{ {Given:}} }} }" class="latex-formula" id="TexFormula1" SRC="https://tex.z-dn.net/?F=%5Cunderline%7B%20%5Cunderline%7B%20%20%5CLarge%20%5Cpmb%7B%5Cmathit%7B%20%7BGiven%3A%7D%7D%20%7D%7D%20%7D%20" title="\underline{ \underline{ \Large \pmb{\mathit{ {Given:}} }} }"> • Length of the room = 12 m • Breadth of the room = 10 m • Height of the room = 8 m • Cost of painting 4 walls per m² = Rs. 35 $\underline{ \underline{ \Large \pmb{\mathit{ {To \: calculate:}} }} }$ • Total cost of painting the 4 walls of a room. $\underline{ \underline{ \Large \pmb{\mathit{ {Calculation:}} }} }$ Here, we are given the length, breadth and the height of the room that is 12 m, 10 m & 8m. We have to find the total cost of painting the 4 walls of a room. In order to find it, we NEED to calculate the area of the four walls of the room. And then as the cost of painting 4 walls per m² is Rs. 35, so the total cost of painting the 4 walls of a room will be Rs. 35 times the area of the 4 walls of the room. ⠀⠀⠀⠀⠀_____________ $\longrightarrow \boxed{\sf { {Area}_{(4 \: Walls \: of \: Room)} = {L.S.A}_{(Room)} }}\\$ $\longrightarrow \sf { {Area}_{(4 \: Walls \: of \: Room)} = 2(l+b) \times h }\\$ $\longrightarrow \sf { {Area}_{(4 \: Walls \: of \: Room)} = 2(12+10) \times 8 \: {m}^{2} }\\$ $\longrightarrow \sf { {Area}_{(4 \: Walls \: of \: Room)} = 2(22) \times 8 \: {m}^{2} } \\$ $\longrightarrow \sf { {Area}_{(4 \: Walls \: of \: Room)} = 44 \times 8 \: {m}^{2} }\\$ $\longrightarrow \sf { {Area}_{(4 \: Walls \: of \: Room)} = 352\: {m}^{2} }\\$ . . . . ★ Now, calculating the total cost of painting the 4 walls of a room. $\longrightarrow \boxed{\sf { {Total \: Cost}_{( \: Painting4 \: Walls )} = {Cost}_{(1 \: {m}^{2} )} \times {Area}_{(Four \: Walls)} }}\\$ $\longrightarrow \sf { {Total \: Cost}_{( \: Painting4 \: Walls )} = Rs. \: ( 35 \times 352) } \\$ $\longrightarrow \boxed{ \pmb{\rm \red{ {Total \: Cost}_{( \: Painting4 \: Walls )} = Rs. \: 12320}}} \\$ Therefore, total cost of painting the 4 walls of a room is Rs. 12320 and Option A is correct.

Find the cost of painting the 4 walls of a room having length 12m breadth 10mand height 8m at the rate of 35 per m2.Rs 12,320Rs 12,340Rs 12,354Rs 12,960

Answer»

align="absmiddle" ALT="\underline{ \underline{ \Large \pmb{\mathit{ {Given:}} }} }" class="latex-formula" id="TexFormula1" SRC="https://tex.z-dn.net/?F=%5Cunderline%7B%20%5Cunderline%7B%20%20%5CLarge%20%5Cpmb%7B%5Cmathit%7B%20%7BGiven%3A%7D%7D%20%7D%7D%20%7D%20" title="\underline{ \underline{ \Large \pmb{\mathit{ {Given:}} }} }">

• Length of the room = 12 m

• Breadth of the room = 10 m

• Height of the room = 8 m

• Cost of painting 4 walls per m² = Rs. 35

$\underline{ \underline{ \Large \pmb{\mathit{ {To \: calculate:}} }} }$

• Total cost of painting the 4 walls of a room.

$\underline{ \underline{ \Large \pmb{\mathit{ {Calculation:}} }} }$

Here, we are given the length, breadth and the height of the room that is 12 m, 10 m & 8m. We have to find the total cost of painting the 4 walls of a room. In order to find it, we NEED to calculate the area of the four walls of the room. And then as the cost of painting 4 walls per m² is Rs. 35, so the total cost of painting the 4 walls of a room will be Rs. 35 times the area of the 4 walls of the room.

⠀⠀⠀⠀⠀_____________

$\longrightarrow \boxed{\sf { {Area}_{(4 \: Walls \: of \: Room)} = {L.S.A}_{(Room)} }}\\$

$\longrightarrow \sf { {Area}_{(4 \: Walls \: of \: Room)} = 2(l+b) \times h }\\$

$\longrightarrow \sf { {Area}_{(4 \: Walls \: of \: Room)} = 2(12+10) \times 8 \: {m}^{2} }\\$

$\longrightarrow \sf { {Area}_{(4 \: Walls \: of \: Room)} = 2(22) \times 8 \: {m}^{2} } \\$

$\longrightarrow \sf { {Area}_{(4 \: Walls \: of \: Room)} = 44 \times 8 \: {m}^{2} }\\$

$\longrightarrow \sf { {Area}_{(4 \: Walls \: of \: Room)} = 352\: {m}^{2} }\\$ . . . . ★

Now, calculating the total cost of painting the 4 walls of a room.

$\longrightarrow \boxed{\sf { {Total \: Cost}_{( \: Painting4 \: Walls )} = {Cost}_{(1 \: {m}^{2} )} \times {Area}_{(Four \: Walls)} }}\\$

$\longrightarrow \sf { {Total \: Cost}_{( \: Painting4 \: Walls )} = Rs. \: ( 35 \times 352) } \\$

$\longrightarrow \boxed{ \pmb{\rm \red{ {Total \: Cost}_{( \: Painting4 \: Walls )} = Rs. \: 12320}}} \\$