A rectangular plot is 125 m by 80 m . It has a gravel path 3.5 m wide all around on the outside.
fins the Area of the path and the cost of grovelling it at 8.50 rupees per m² .

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АНОНИМIN АНОНИМIN · Answer 1

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Length of plot including the path :

width of plot including the path :

Now, the Area of plot including the path is :

[tex] \large \boxed{ \sf length \times width}[/tex]

[tex]\qquad \sf \dashrightarrow \: 132 \times 87[/tex]

[tex]\qquad \sf \dashrightarrow \: 11484 \:m {}^{2} [/tex]

The actual Area of the plot (excluding the path) was ;

[tex]\qquad \sf \dashrightarrow \: 125 \times 80[/tex]

[tex]\qquad \sf \dashrightarrow \: 10000 \: m {}^{2} [/tex]

So, the Area of path is ~

[tex]\qquad \sf \dashrightarrow \: 11484 - 10000[/tex]

[tex]\qquad \sf \dashrightarrow \: 1484 \: m {}^{2} [/tex]

Now, cost of grovelling it up at the 8.50 rupees per m² is ~

[tex]\qquad \sf \dashrightarrow \: 1484 \times 8.5[/tex]

[tex]\qquad \sf \dashrightarrow \: ₹ \: 12,614[/tex]

RAPHEALNWOBIIN RAPHEALNWOBIIN · Answer 2

The area of the path is 1049 m² and it cost 8916.5 rupees

Area is the amount of space occupied by a two dimensional shape.

Area of the plot = 125 * 80 = 10000 m²

Dimension of plot and path = (125 + 3.5 + 3.5) by (80 + 3.5 + 3.5) = 127 by 87

Area of plot and path = 127 * 87 = 11049

Area of path = 11049 - 10000 = 1049

Cost of path = 1049 * 8.5 = 8916.5 rupees

The area of the path is 1049 m² and it cost 8916.5 rupees

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