Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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 .

kindly help !

need a very well explained ans
no spams or unwanted ans plss

Thx for answering ¡ :) ​


Sagot :

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

Length of plot including the path :

  • 125 + (3.5 × 2)= 125 + 7 = 132

width of plot including the path :

  • 80 + (3.5 × 2) = 80 + 7 = 87

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]

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

Area

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

Find out more on Area at: https://brainly.com/question/25292087