Question

a path of width 3 metre is constructed all along outside a field of length 45 and breadth 30. find the area of the path and and also find cost for tiling it at the rate of 8 rupees per metre square​

Answer 1

Answer:

$\huge{\underline{\underline{\mathfrak{Answer\::}}}}$

$\bf\green{Area\:of\:path=486\:{m}^{2}}$

$\bf\green{Cost\:of\:tiling=Rs.3888}$

_____________________

Given that,

• Length of field = 45 m
• Breadth of field = 30 m
• Width of path = 3 m [Outside field]

To find,

• Area of path
• Cost of tiling the path at 8 rupees per meter square.

Area of field = Length × Breadth

$\mapsto\tt Area =( 45 \times 30)\: {m}^{2}$

$\mapsto\tt Area = 1350\:{m}^{2}$

_______________________

☆Length of field along with path = Length of field +2 × Width

$\mapsto\tt Length = (45 + 2 × 3)\:m$

$\mapsto\tt Length = 51 \:m$

☆Breadth =Breadth of field+2 × Width

$\mapsto\tt Breadth =(30 + 2 × 3)\:m$

$\mapsto\tt Breadth = 36\:m$

$\therefore\tt Area\:of\: field\: along\:with\: path =(51 × 36) \:{m}^{2}$

$\Rightarrow\tt Area\:of\:field\:along\:with\:path=1836\:{m}^{2}$

$\therefore\tt Area\: of \:path = (1836 - 1350) \:{m}^{2}$

$\Rightarrow\tt Area\:of\:path =486\:{m}^{2}$

_______________________

Cost = Area × Rate

$\Rightarrow\tt Cost =Rs.(486 \times 8 )$

$\Rightarrow\tt Cost =Rs.3888$

$\therefore \bold\red{Area\:of\:path=486\:{m}^{2}}$

$\therefore \bold\red{Cost\:of\:tiling=Rs.3888}$

Answer 2

Answer:

Area of Path = 486 m² and Cost of tiling it is Rs 3888

Step-by-step explanation:

We Have :-

Width of Path = 3m

Length of Park = 45m

Breadth of Park = 30m

Cost of Tiling = Rs 8 /m²

To Find :-

Area of path and cost of tiling it

Formula Used :-

Area of Rectangle = Length * Breadth

Solution :-

Area of Park = 45 * 30

= 1350m²

Length of Park with Path = 45 + 6 = 51 m

Breadth of Park with Path = 30 + 6 = 36 m

Area of Park with Path = 51 * 36

= 1836 m²

Area of Path = Area of Park with Path - Area of Park

= 1836 - 1350

= 486 m²

Cost of tiling

1 m² = Rs 8

486 m² = Rs 8 * 486

= Rs 3888

Area of Path = 486 m² and Cost of tiling it is Rs 3888