Question

22. The length of a rectangle is twice its breadth. The perimeter of a rectangle 48 cm. Find
the breadth of the rectangle​

Answer 1

Perimeter of rectangle = 48 cm

Length of rectangle = 2b

2( l + b) = 48 cm

2( 2b + b) = 48 cm

2 × 3b = 48 cm

3b = 48 ÷ 2

3b = 24 cm

b = 24 ÷ 3

b = 8 cm

Therefore breadth of rectangle is 8 cm.

Hope it helps you.....

Answer 2

• Breadth of rectangle is 8 cm.

Step-by-step explanation:

Given:-

• Perimeter of rectangle is 48 cm.

To find:-

• Breadth of rectangle.

Solution:-

Let, Breadth be x.

And Length of rectangle be 2x [We take length of rectangle be 2x because it is given that length is Twice the Breadth.]

Perimeter of rectangle = 2(l + b)

• Where, l and b are length and breadth of rectangle.

Putting Length,breadth and perimeter of rectangle in formula:

$\longrightarrow$ 48 = 2×(2x + x)

$\longrightarrow$ 48 = 4x + 2x

$\longrightarrow$ 48 = 6x

$\longrightarrow$ 48/6 = x

$\longrightarrow$ x = 8

Verification:-

$\longrightarrow$ 48 = 2×(2x + x)

• Put x = 8

$\longrightarrow$ 48 = 2×(2×8 + 8)

$\longrightarrow$ 48 = 2×(16 + 8)

$\longrightarrow$ 48 = 32 + 16

$\longrightarrow$ 48 = 48

Hence, Verified!!

We have taken Breadth be x. So, Breadth of rectangle is 8 cm.

We have also taken Length be 2x = 2×8 = 16. Thus, Length of rectangle is 16 cm.

Therefore,

Breadth of rectangle is 8 cm.