Question

the perimeter of a square is double that of a rectangle . if perimeter of the square is 120 m , and length and breadth of the rectangle are in the ratio 3 :2 , find the breadth of the rectangle ​

Answer 1

Answer:

Breadth=12m

Length=18m

Brainliest? Do mark.

Step-by-step explanation:

Since perimeter of square=120m

So, perimeter of rectangle = 120/2=60m

Let common multiple me x

B=2x, L=3x

Perimeter if rectangle = 2(L+B)

60=2(3x+2x)

30=(5x)

Therefore x = 30/5=6

Breadth = 2x=2×6

=12m.

Answer 2

Answer:

Length of rectangle is 18 m

And

Breadth of rectangle is 12 m.

Step-by-step explanation:

Given

Perimeter of square is 120 m.

Perimeter of a square = 2 × Perimeter of rectangle (Given)

120 m = 2 × Perimeter of rectangle

Perimeter of rectangle = 120/2 m

Perimeter of rectangle = 60 m

Let the length and breadth of the rectangle be l and b respectively.

Let the length of rectangle be 3x

And

Breadth of rectangle be 2x.

According to the question

Perimeter of rectangle = 60 m

2 (l + b) = 60 m

2(3x + 2x) = 60 m

2 × 5x = 60 m

10x = 60 m

x = 60/10 m

x = 6 m

So, 3x = 3 × 6 m = 18 m

2x = 2 × 6 m = 12 m

Length of rectangle = 3x = 18 m

And

Breadth of rectangle = 2x = 12 m.