Question

A black board is 1m 35cm long and 1m 12cm broad .find the cost of painting the board at a rate of 15 paise per square cm​

Answer 1

Answer:

The Cost of painting the board is Rs. 2268.

Step-by-step explanation:

Given :

Length = 1 m 35 cm

Breadth = 1 m 12 cm

Rate I'd painting = 15 paise per cm²

To find :

Cost is painting the board

Solution :

Convert the dimensions into centimetres.

Length = 1 m 35 cm into cm

$\implies$ 1 m = 100 cm

$\implies$ 100 cm + 35 cm

$\implies$ 135 cm

$\rule{300}{1.5}$

Breadth = 1 m 12 cm into cm

$\implies$ 1 m = 100 cm

$\implies$ 100 cm + 12 cm

$\implies$ 112 cm

$\rule{300}{1.5}$

★ Area of the Rectangle -

$\boxed{\sf{Area=Length \times Breadth}}$

$\implies$ 135 × 112

$\implies$ 11520 cm²

$\rule{300}{1.5}$

★ Cost of painting -

Multiply the area by rate of painting to get the cost.

$\implies$ 11520 × 15

$\implies$ 226800 paise

$\rule{300}{1.5}$

★ Convert paise into rupees -

$\implies$ 1 rupee = 100 paise

$\implies$ 226800 ÷ 100

$\implies$ 2268

$\therefore$ The Cost of painting the board is Rs. 2268.

Answer 2

Answer:

$\huge{\boxed{\mathfrak\green{Answer:Rs.2268}}}$

_________________________

$\bf\red{Given\::}$

• Length of black board= 1 m 35 cm
• Breadth of black board=1 m 12 cm
• Rate = 15 paise per sq.cm
• Cost of painting = ?

________________________

Converting paise into rupees,

100 paise = 1 rupee

$\leadsto\tt 1 paise =\frac{1}{100}\:rupee\\ \leadsto\tt 15 paise =\frac{1\times 15}{100}\:rupee \\ \leadsto\tt 15 paise = 0.15 \:rupee.$

$\therefore\tt{\underline{Rate \:= \: Rs.0.15 \:rupee}}$

________________________

$\tt Length = 1m\:35 cm \\ \leadsto\tt Length = (1 \times 100 + 35)\:cm \\ \leadsto\tt Length = 135\:cm$

$\tt Breadth = 1m\:12cm \\ \leadsto\tt Breadth = (1 \times 100 + 12)\:cm \\ \leadsto\tt Breadth = 112\: cm$

_________________________

★$\tt Area = Length \times Breadth$

$\leadsto\tt Area = (135 \times 112)\:{cm}^{2} \\ \leadsto\tt Area = 15120 \:{cm}^{2}$

________________________

★$\tt Cost \:of \:painting = Area \times Rate$

$\leadsto\tt Cost =Rs. (15120\times 0.15) \\ \leadsto\tt Cost = Rs.2268$

$\therefore\tt {\underline{Cost\:of\:painting=Rs.2268}}$