Question

A rectangular plot with length 16 m has perimeter 40 m. Find the ratio of length to breadth.​

Answer 1

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A rectangular plot with length 16 m has perimeter 40 m. Find the ratio of length to breadth.

$\ \boxed {\red{ \boxed{ \huge{ \textbf{ \textsf{ᴛᴏ ғɪɴᴅ ↬}}}}}}$

• Ratio of length to breadth.

$\ \boxed {\red{ \boxed{ \huge{ \textbf{ \textsf{ɢɪᴠᴇɴ ↬}}}}}}$

• length of the rectangular plot = 16 m
• perimeter of the rectangular plot = 40 m

$\ \boxed {\red{ \boxed{ \huge{ \textbf{ \textsf{ᴀɴsᴡᴇʀ ↬}}}}}}$

We know that,

$\sf \: Perimeter \: of \: rectangle = 2(l + b) \\ \sf \: 40 \: m = 2(16 + b) \\ \sf \: \frac{40}{2} = 16 + b \\ \\ \sf \implies\: 20 = 16 + b \\ \sf \implies\: 20 - 16 = b \\ \boxed{\sf \therefore \: b = 4}$

so,

Ratio of length to breadth = Length/breadth

$\implies \sf \: \frac{ \cancel{16} \: ^{4} }{ \cancel{4} \: ^{1} } \\ \\ \sf \implies \: \frac{4}{1} = \: \: \: \: \boxed {\sf {\red{4 : 1 \: \: \: ans....}}}$

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Answer 2

Attachment Please...!!