Question

The adjacent sides of a rectangle are in
the ratio 3:2. The perimeter of the
rectangle is 60 cm. Find the length and
the breadth.​

Answer 1

Answer:

Let the ratio be 3x:2x.

Perimeter = 2(l+b)

Given Perimeter = 60 cm

=> 2(3x+2x) = 60

=> 5x = 60/2

=> 5x = 30

=> x = 6

Hence, length = 3×6 cm = 18 cm

Breadth = 2×6 cm = 12 cm

Answer 2

Answer :

›»› The length and breadth of a rectangle is 18 cm and 12 cm respectively.

Given :

• The adjacent sides of a rectangle are in the ratio 3:2.
• The perimeter of the rectangle is 60 cm.

To Find :

• The length and breadth of a rectangle.

Solution :

Let us assume that, the length of a rectangle is "3x" and the breadth of a rectangle is "2x" respectively.

As we know that

→ Perimeter of rectangle = l + b + l + b

→ Perimeter of rectangle = 2(l + b)

→ 60 = 2(3x + 2x)

→ 60 = 2 * 3x + 2 * 2x

→ 60 = 6x + 2 * 2x

→ 60 = 6x + 4x

→ 60 = 10x

→ x = 60/10

→ x = 6/1

→ x = 6

Therefore,

• Length of a rectangle = 3x = 3 * 6 = 18 cm.
• Breadth of a rectangle = 2x = 2 * 6 = 12 cm.

Hence, the length and breadth of a rectangle is 18 cm and 12 cm respectively.

Verification :

→ Perimeter of rectangle = 2(l + b)

→ 60 = 2(18 + 12)

→ 60 = 2 * 18 + 2 * 12

→ 60 = 36 + 2 * 12

→ 60 = 36 + 24

→ 60 = 60

Here, L.H.S. = R.H.S.

Hence Verified !