Question

A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. find the cost of white washing the wall, if the rate of white washing of the wall is ₹ 20 per m².​

Answer 1

Answer:

Area of rectangular door=length×breadth=2m×1m=2m²

Area of wall including door=length×breadth=4.5m×3.6m=1.2m²

Now, Area of wall excluding door

=Area of wall including door−Area of door

=16.2−2=14.2m²

Since, The rate of white washing of 1m

2

the wall=Rs. 20

Therefore, the rate of white washing of 14.2m

2

the wall=20×14.2

=Rs. 284

Thus, the cost of white washing the wall excluding the door is Rs. 284.

Answer 2

$\huge{\mathcal{\underline\orange{Question}}}$

A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. find the cost of white washing the wall, if the rate of white washing of the wall is ₹ 20 per m².

$\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}$

$\huge\boxed{\blue{Given :}}$

➣ Length of the Door = 2 m

➣ Breadth of the Door = 1 m

➣ Length of the wall = 4.5 m

➣ Breadth of the wall = 3.6 m

➣ Cost of white washing 1 m² of the wall = ₹ 20

$\huge\boxed{\red{To \: Find :}}$

➣ Cost of white washing the wall

$\huge\boxed{\pink {Solution :}}$

➪ Area of Door = Length × breadth

⇒ Area of Door = 2 × 1

⇒ Area of Door = 2 m²

$\:$

➦ So, the area of the Door is 2 m²

$\: \:$

➪ Area of wall = Length × breadth

⇒ Area of wall = 4.5 × 3.6

⇒ Area of wall = 16.20 m²

$\:$

➦ So, the area of the Door is 16.20 m²

$\:$

➪ Area of the wall to be white washed = Area of wall - Area of Door

⇒ Area of the wall to be white washed=16.20 - 2

⇒ Area of the wall to be white washed= 14.20 m²

$\:$

➪ Cost of white washing 1 m² = ₹ 20

➪Cost of white washing 14.20 m²=Area of the wall to be white washed × Cost of white washing 1m²

⇒ Cost of white washing 14.20 m² = 14.20 × 20

⇒ Cost of white washing 14.20 m² = ₹ 284

$\:$

➦ So, the cost of white washing the wall is ₹ 284