Question

The length of a rectangle is 7 more than its breadth . If the perimeter is 46 m find the breadth?​

Answer 1

Question:-

The length of a rectangle is 7 more than its breadth . If the perimeter is 46 m find the breadth?

Answer:-

• The breadth of rectangle is 8m.

Given:-

• Length = 7 + x m
• Breadth = x m
• Perimeter = 46 m

To find :-

• Breadth of rectangle

Solution:-

$\boxed{ \large{perimeter = 2(length + breadth)}}$

$\implies \: 2(7 + x + x) = 46 \\ \\ \implies \: 7 + 2x = \frac{46}{2} \\ \\ \implies \: 2x = 23 - 7 \\ \\ \implies \: x = \frac{16}{2} \\ \\ \implies \: x = 8$

• The breadth of rectangle is 8m.

Answer 2

ɢɪᴠᴇɴ :-

• The length of a rectangle is 7 more than its breadth
• Perimeter= 46

ᴛᴏ ꜰɪɴᴅ :-

• Breadth of rectangle

ꜱᴏʟᴜᴛɪᴏɴ :-

Let the breadth be x metre.

so, the length will be 7+x metres.

$\green{ \underline{ \sf\large{ \red{ \fbox{ \pink{Perimeter \: of \: rectangle = 2(l + b)}}}}}}$

$\begin{lgathered}:\implies \tt \: 2(7 + x + x) = 46 \\ \\ :\implies \tt \: 7 + 2x = \frac{46}{2} \\ \\ :\implies \tt \: 2x = 23 - 7 \\ \\ :\implies \tt \: x = \frac{16}{2} \\ \\ :\implies\tt \: x = 8\end{lgathered}$

Therefore, the breadth of rectangle is $\green{ \underline{ \boxed{ \sf{8 meters}}}}$

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