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

Answer:

• Length is 20 cm
• Breadth is 10 cm

Step-by-step explanation:

According to the Question

It is given that,

• Length of rectangle is twice as its breadth
• Perimeter of Rectangle = 60cm

we have to calculate the length and breadth of the rectangle.

Let the breadth be x cm

then ,

Length be 2x cm

Calculating the length and breadth

• Perimeter of Rectangle = 2(Length+breadth)

by putting the value we get

↠ 60 = 2(2x+x)

↠ 60 = 2(3x)

↠ 60 = 6x

↠ x = 60/6

↠ x = 10 cm

Since , breadth is 10 cm

Therefore, Length = 2x = 2×10 = 20 cm

• Hence, the length and breadth of rectangle is 20 cm & 10 cm respectively.

Answer 2

Answer:

Given:-

Perimeter of the rectangle = 60 cm

Length of the rectangle = Twice it's breadth

$\underbrace{\huge{\pink{\underline{ \sf \: To \: Find:-}}}}$

• Length of the rectangle.

• Breadth of the rectangle.

$\gray{\underbrace{\huge{\green{\underline{ \sf \: Solution:-}}}}}$

Perimeter of the rectangle = 2 (Length + Breadth)

Let the breadth be x and length be 2x

Then,

$\sf \: Perimeter \: of \: the \: rectangle = \bf{\sf 2(2x+x)=60} \:$

$:\implies \sf 2 \times 3x=60\\ \\:\implies \sf 3x=\dfrac{60}{2}\\ \\ :\implies \sf 3x=30$

Finding the value of x

$:\implies \sf x=\dfrac{30}{3}\\ \\ :\implies \sf x=10$

Breadth = 10 cm

Length = 2x

Length = 10 × 2

• = 20 cm

Therefore, length is 20 cm and breadth is 10 cm