Question

The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.​

Answer 1

• Length of rectangle is 20 cm.
• Breadth of rectangle is 10 cm.

Step-by-step explanation:

Given:-

• Perimeter of rectangle is 60 cm.

To find:-

• Length and Breadth of rectangle.

Solution:-

Let, Breadth of rectangle be 'x'.

And Length of rectangle be '2x'.

We know that,

$\boxed{\sf \bold{\star \: Perimeter \:of\: rectangle = 2(l + b)}}$

In which,

• l and b are length and Breadth of rectangle respectively.

Perimeter = 60 cm.

Put perimeter in formula :

$\longrightarrow \sf 60 = 2\times (2x + x)$

$\longrightarrow \sf 60 = 4x + 2x$

$\longrightarrow \sf 60 = 6x$

$\longrightarrow \sf \cfrac{60}{6} = x$

$\longrightarrow \sf 10 = x$

Or, x = 10

We have taken x be Breadth. So, Breadth is 10 cm.

And We have taken length be 2x = 2×10 = 20 cm. Therefore, Length of rectangle is 20 cm.

Answer 2

Answer:

$here \: is \: your \: answer$

Length of a Rectangle = 2breadth

$l = 2b$

$perimeter \: of \: rectangle \: = 2(l + b)$

$60 = 2(2b + b)$

$\frac{60}{6} = b$

$10 = b$

$60 = 2(3b)$

$60 = 6b$

$10 = b$

Hence the breadth of rectangle is 10cm

$length = 2 \times 10 = 20cm$

Hence the length of rectangle is 20 cm