Question

12. The perimeter of a rectangle is 48 m. If its width is one-third of its length, find the dimensions
of the rectangle.​

Answer 1

Answer:

length =18m

breadth = 6m

Step-by-step explanation:

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Answer 2

Answer :

➥ The dimensions of the rectangle is 18 m and 6 m

Given :

➤ Perimeter of a rectangle = 48 m

➤ Its width is one-third of its length

To Find :

➤ The dimensions of the rectangle = ?

Solution :

Let ,

The length of a rectangle be 3x and the width be ⅓ × 3x = x

As we know that

$\tt{: \implies Perimeter = 2(length + width)}$

$\tt{: \implies \cancel{48} = \cancel{ \: 2 \: }(3x + x)}$

$\tt{: \implies 24 = 3x + x}$

$\tt{: \implies 24 = 4x}$

$\tt{: \implies \cancel{\dfrac{24}{4}} = x }$

$\bf{: \implies \underline{ \: \: \underline{ \green{ \: \: x = 6 \: m \: \: }} \: \: }}$

So ,

$\tt{: \implies length = 3 \times 6}$

$\bf{: \implies \underline{ \: \: \underline{ \purple{ \: \: length = 18 \: m \: \: }} \: \: }}$

$\bf{: \implies \underline{ \: \: \underline{ \purple{ \: \: width = 6 \: m \: \: }} \: \: }}$

Hence, the dimensions of a rectangle is 18 m and 6 m.