Question

half the perimeter of a rectangular garden whose length is4 m more than its widch is 36 m find the dimensions of the garden
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Answer 1

$\sf\purple{\underline{\underline{Question}}}$

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$\small\text{Half the perimeter of a rectangular garden }\\{\small\text{whose length is 4m more than its width}}\\{\small\text{is 36m . Find the dimensions of the garden .}}$

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$\sf\purple{\underline{\underline{Answer}}}$

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$\small\rightarrow\text{Length = 20}$

$\small\rightarrow\text{width = 16}$

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$\sf\purple{\underline{\underline{Explanation}}}$

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$\small\text{Let the width will be x }$

$\small\text{so the length will be x+4}$

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$\small\text{Perimeter of a rectangle = 2(l+b)}$

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$\small\text{According to question ,}$

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$\small\longrightarrow\text{l + b = 36}$

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$\small\text{Putting Values}$

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$\small\longrightarrow\text{x + x + 4 = 36}$

$\small\longrightarrow\text{2x = 36 - 4}$

$\small\longrightarrow\text{2x = 32}$

$\small\longrightarrow\sf{x\: = \:{\cancel\frac{32}{2}}}$

$\small\longrightarrow\text{x = 16}$

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$\small\text{Therefore, Width is 16m and }$

$\small\text{Length will be x+4 = 4 + 16 = 20m}$

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$\sf\purple{\underline{\underline{Thanks}}}$

Answer 2

$<p style="color:blue;font-family:cursive;background:white;font-size:30px;">Your Answer</p>$

Length = 20

Width = 16

Explanation :-

Let the width will be x

so the length will be x+4

Perimeter of a rectangle = 2(l+b)

According to question,

l + b = 36

Putting Values

x + x + 4 = 36

2x = 36 - 4

2x = 32

x = 32 ÷ 2

x = 16

Therefore, Width is 16m and

Length will be x+4 = 4 + 16 = 20m

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