Question

The length of a rectangle is 2 times its breadth. The perimeter of the rectangle is 180 cm; find its length and breadth.
Solve ​

Answer 1

Answer:

Length - 60cm and Breadth - 30cm

Step-by-step explanation:

Let be the breadth of the rectangle is x

So, length = 2×x = 2x

Perimeter = 180cm

We know that Perimeter of a rectangle is 2(length+breadth)

So, 2(2x+x) = 180

4x+2x = 180

6X = 180

x = 180/6 = 30

Therefore, the length of the rectangle is 2x = 2×30 = 60cm and breadth is 30cm.

Answer 2

Answer :-

The length and breadth of rectangle is 60cm and 30cm.

Step-by-step Explanation

To Find :-

• The length of rectangle.
• The breadth of rectangle.

Solution

Given that,

• The length of a rectangle is 2 times its breadth.
• The perimeter of the rectangle is 180cm.

Assumption

Let us assume the length and breadth of rectangle as 2x and x respectively.

As we know that,

• 2(length + breadth) = Perimeter of Rectangle.

On putting the values.

⇢ 2(2x + x) = 180

⇢ 2x + x = 180/2

⇢ 2x + x = 90

⇢ 3x = 90

⇢ x = 90/3

⇢ x = 30

Hence, The value of b is 30 .

Now, Finding the length and breadth :-

Length = 2x = 2*x = 2*30 = 60cm

Breadth = x = 30cm

∴ The length and breadth of rectangle is 60cm and 30cm.

Diagram: Refer the attachment.