Question

The perimeter of a rectangle is 42 cm and its length is double its breadth. Find the length and breadth of the rectangle.​

Answer 1

Answer:

120 cm will be the answer to your question

Step-by-step explanation:

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Answer 2

ɢɪᴠᴇɴ:-

• The perimeter of a rectangle is 42 cm and its length is double its breadth.

ᴛᴏ ꜰɪɴᴅ:-

• The length and breadth of the rectangle.

ꜱᴏʟᴜᴛɪᴏɴ:-

The breadth of the rectangle be x units.

As per the question,

length is twice the breadth

•°•Length of the rectangle = 2x units

We know that the perimeter of the rectangle is calculated using the formula,

$\begin{lgathered}\begin{lgathered}{\boxed{\frak{\pink{Permeter\:of\:the\:rectangle \:=\:2\:(\:l\:+\:b)}}}}\;\bigstar\\ \\\end{lgathered}\end{lgathered}$

$\begin{lgathered}\begin{lgathered}:\implies\frak {(2x + x) = 42}\\ \\\end{lgathered}\end{lgathered}$

$\begin{lgathered}\begin{lgathered}:\implies\frak {3x = \frac{42}{2} }\\ \\\end{lgathered}\end{lgathered}$

$\begin{lgathered}\begin{lgathered}:\implies\frak {3x = 21}\\ \\\end{lgathered}\end{lgathered}$

$\begin{lgathered}\begin{lgathered}:\implies\frak {\frac{21}{3}}\\ \\\end{lgathered}\end{lgathered}$

$\begin{lgathered}\begin{lgathered}:\implies{\boxed{\frak{\purple{x = 7 \: cm}}}}\;\bigstar\\ \\\end{lgathered}\end{lgathered}$

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