Question

The length of a rectangle is twice it's breadth if the perimeter Is 72 centimetres find the length and breadth of the rectangle

Answer 1

Answer:

Step-by-step explanation:

Then length = 2(a) = 2a.

We know that, Perimeter of rectangle = 2( length + breadth) .

Given perimeter = 72 m

=> 72m =2( a+2a)

=> 36=3a

=> a =12

Hence, Length is 2(12) = 24 m

Breadth is a =12 m

Answer 2

Let the breadth of the rectangle be x.

since, length of rectangle is twice its breadth,

Length = 2x

perimeter = 72 cm

perimeter is also 2(length+ breadth).

Equating both perimeter values.

$2(length \: + \: breadth) = perimeter \\ 2(2x + x) = 72 \\ 2(3x) = 72 \\ 6x = 72 \\ x = \frac{72}{6} \\ x = 12$

As x = 12,

Length = 2x = 2(12) = 24

Breadth = x = 12

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