Question

a rectangular park is 100m long and 60 m wide.it has a path 2.5 m inside the park all around.find the area of the path and cost of tiling it at ₹80 per square meter,​

Answer 1

Answer:

Area of path = 2184 m²

Step-by-step explanation:

Given,

Length of path = 100 m

Width of path = 70 m

We know,

Area of rectangle = length * width

So,

Area of rectangular park = 100 * 70 = 7000 m²

According to question,

A path of 6m runs along inside it

So,

After path is added around rectangle,

New length = 100 + 2*6 = 112 m

new breadth = 70 + 2*6 = 82m

Now,

Area of rectangle with path = 112 * 82

= 9184 m²

So,

Area of path = Area of rectangle with path - Area of rectangle without path

Area of path = 9184 - 7000

= 2184 m²

Hence,

Area of path = 2184 m²

Answer 2

$\huge \underline{\underline{\sf{ \color{darkblue}{✒ANSWER:-} }}}$

$The \: \: \: area \: \: of \: \: the \: \: path \: \: is \: \: \: 656 \: \: sq.m.$

$\huge \underline{\underline{\sf{ \color{green}{✒ Explanation:-} }}}$

$Length \: \: of \: \: park \: \: = 100 \: \: m$

$Breadth \: \: of \: \: \: park = 60 \: m$

A 2m width path made around the rectangular park .

Outer length = 100+(2+2)=104 m

Outer breadth =60+2+2=64 m

Area of Path = Outer area - Inner area

Hence  The area of the path is 656 sq.m.