Question

if the length and breadth of a rectangular Park is 13 and 12 a part of 3m is constructed along its boundary what is the cost of painting the path if rupees 50 per metre is charged ​

Answer 1

(area of big rectangle -area of small rectangle)*50

Answer 2

Recall:

$\text {area } = \text {length } \times \text {breadth }$

$\text {area of the border } = \text {external area } \times \text {inner area }$

Find the area of the park:

$\text {area } = \text {length } \times \text {breadth }$

$\text {area } = 13 \times 12$

$\text {area } = 156 \text { m}^2$

Find the area of the park without the path:

$\text {Length } = 13 - 3 - 3$

$\text {Length } = 7 \text { m}$

$\text {Bradth } = 12 - 3 - 3$

$\text {Length } = 6 \text { m}$

$\text {area } = 7 \times 6$

$\text {area } = 42 \text { m}^2$

Find the area of the path:

$\text {area } = 156 - 42$

$\text {area } = 114 \text { m}^2$

Find the cost of painting:

$1 \text{ m}^2 = 50$

$114 \text{ m}^2 = 50 \times 114$

$114 \text{ m}^2 =\text{Rs } 5700$

Answer: The cost is Rs 5700.