Question

the rectangular garden 78 metres long and 5 metres broad has a uniform path 1m wide all around it on the outside. find the area of the path.​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The area of the Path is 170 m².

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Rectangular Ground's Length = 78 m

Breadth of the Rectangle = 5 m

Width of the Path = 1 m

To Find :

The area of the Path

Solution :

★ Area of the Path = Area of Bigger Rectangle - Area of smaller Rectangle

$\rule{300}{1.5}$

Area of the Smaller Rectangle :

★ $\boxed{\sf{Area = Length \times Breadth}}$

$\sf{\implies} \: 78 \times 5$

$\sf{\implies} \: 390$

Area of the Smaller Rectangle = 390 sq.m

$\rule{300}{1.5}$

Area of the Bigger Rectangle :

★ $\boxed{\sf{Area = Length \times Breadth}}$

Length = 78 + (1 + 1) = 80

Breadth = 5 + (1 + 1) = 7

$\sf{\implies} \: 80 \times 7$

$\sf{\implies} \: 560$

The Area of the Bigger Rectangle is 560 sq.m

$\rule{300}{1.5}$

Area of the Path :

$\sf{\implies} \: 560 - 390$

$\sf{\implies} \: 170$

$\therefore$ The area of the Path is 170 m².

Answer 2

Answer:

Area of the Path = 170 m²

===============================

Area of the Rectangle =

==> 78 × 5

==> 390 m²

Area of the new Rectangle =

==> (78 + 2) × (5 + 2)

==> 80 × 7

==> 560 m²

===============================

Area of the Path =

==> 560 - 390

==> 170

Area of the Path = 170 m²