Question

The perimeter of a rectangular park is 180 m. It ratio of its length and breadth is 2:1. Find the
area of the rectangle.​

Answer 1

Answer:

Length = 60m

Breadth = 30m

Area = 180m²

Step-by-step explanation:

Length = 2x

Breadth = x

Perimeter = 180m

Perimeter= 2(l+b)

180 = 2(2x+X)

180 = 2 X 3x

180 = 6x

X = 180/6

x = 30

Breadth = 30m

Length = 2X30 = 60m

Area = l X b

= 60 X 30

= 180m²

Answer 2

Given:

• Perimeter of a rectangular park = 180m
• Ratio of its length and breadth = 2:1

To find:

• Area of the rectangle = ?

Solution:

Here, we are already given that ratio of its length and breadth is 2:1.

So, we'll assume length as 2x and breadth as 1x.

According to question:

$\rm\red { 2(l+b) = 180m}$

$\rm {↪ 2(2x+1x) = 180m}$

$\rm {↪ 4x+2x = 180m}$

$\rm {↪ 6x = 180m}$

$\rm {↪ x =\cancel{\dfrac{ 180m}{6}}= 30}$

So,

• length = 2 × 30 = 60m
• breadth = 1 × 30 = 30m

Now, we know that

${\large {\boxed {\rm {\purple { Ar. \: of \: rect. = length \times breadth }}}}}$

Substituting values,we get -

➡ Area of rectangle= length × breadth

↪ Area of rectangle = ( 60 × 30 )m

↪ Area of rectangle = 1800m^2.

Therefore, area of the rectangular park is 1800m^2.