Question

The length and breadth of a rectangle are in the ratio 2:1. If the length is 10 cm, then the
breadth is?

Answer 1

Refer to the attachment provided above shows a rectangle ABCD with its required dimensions.

$\bigstar \: \underline{ \underline{ \bf{Question}}}$

The length and breadth of a rectangle are in the ratio 2 : 1 . If the length is 10 cm, then the

breadth is .

Answer

$\boxed{ \begin{array}{c}= \rm 5 \: cm \: is \: the \: required \: \\ \rm \: \: \: \: \: \: \: measurement \: for \: breadth.. \end{array}}$

Solution

Given that the length and breadth of a rectangle are in the ratio of 2 : 1.

✧ Key Note ___________________________

Here, note the common mistake done by students often that they assume these ratios to be actual measurements for length and breadth. Rather , this 2 : 1 ratio is just a common factor or a type of comparison between length and breadth i.e how length and breadth are related to each other.

__________________________________

Now ,

Let us assume the Length of rectangle be 2x while that of breadth be 1x or x , simply.

Also , it is given that

• Actual Length of rectangle = 10 cm

Now , let's compare our assumptions with the actual detail provided in the question.

❥︎ In case of length,

• 2x = 10
• x = 10/2 = 5

Therefore ,

the Breadth of rectangle = x = 5 cm.

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Thankyou

Answer 2

Given,

The length and breadth of a rectangle are in the ratio $2:1$.

The length is $10cm$

We have to find the value of breadth

Let, the length of a rectangle be $2x$

Let, the breadth of a rectangle be $x$

According to the question,

The length of a rectangle is $10cm$

So,

$2x=10$

$x= \frac{10}{2}$

$x=5$

So, the breadth of a rectangle is $5$cm

Therefor, the value of breadth is $5cm$.