Question

A rectangle has a perimeter of 24 cm. Its length is twice its breadth. Find its dimensions. ​

Answer 1

Answer:

Length = 8 cm

Breadth = 4 cm

Step-by-step explanation:

Given :

Perimeter of the rectangle = 24 cm

Length is twice the breadth.

To find :

the dimensions of the rectangle.

Solution :

Let the breadth of the rectangle be b cm

The length is twice the breadth.

Hence, length = 2(breadth)

l = 2b cm

We know that,

Perimeter of the rectangle = 2(length + breadth)

24 cm = 2(l + b)

24 = 2(2b + b)

24/2 = 3b

12 = 3b

b = 12/3

b = 4 cm

The breadth of the rectangle is 4 cm.

The length of the rectangle = 2(4) = 8 cm

Answer 2

Solution ↓

Perimeter of rectangle = 24 cm

Length of rectangle = ?

Breadth of rectangle = ?

Let the breadth be a, then

length = 2a

We know that :-

Perimeter = 2 × (Length + Breadth)

24 = 2 × (a + 2a)

24 = 2(a) + 2(2a)

24 = 2a + 4a

24 = 6a

6a = 24

a = 24 ÷ 6

a = 4cm

Therefore,

Breadth = a = 4cm (Ans)

Length = 2a = 2(4) = 8cm (Ans)