Question

the perimeter of square lawn is 36m. what is its area?

Answer 1

• Area of square lawn is 81 m².

Step-by-step explanation:

To find:-

• Area of square lawn.

Solution:-

Given that,

Perimeter of square lawn is 36 m.

• Here, first we will find length of side of square lawn.

Perimeter of square = 4×side

$\longrightarrow$ 36 = 4×side

$\longrightarrow$ 36/4 = side

$\longrightarrow$ 9 = side

Or, $\longrightarrow$ side = 9

Side of square lawn is 9 m.

• Now, We will find required area of square lawn.

Area of square = Side×Side

$\longrightarrow$ 9 × 9

$\longrightarrow$ 81

Therefore,

Area of square lawn is 81 m².

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More about square :-

• Square is two dimensional shape or figure.
• It's all sides are equal and parallel.
• It's all angles are equal.
• All angles of square measure is 90°.
• Sum of all interior angles of square is 360°.
• Square is a quadrilateral.

Answer 2

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${ \frak { \underline \red{Correct \: Question : - }}} \:$

$\tt{If\: the\: perimeter\: of \:square\: lawn \:is\: 36m. \:What \:is \:its \:area\:?}$

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${ \frak { \underline \red{Given : - }}} \:$

$\tt{Perimeter \:of \:square\: lawn \:= \:36m.}$

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${ \frak { \underline \red{To\:Find : - }}} \:$

$\tt{Area\:of\:square\:lawn.}$

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$\large\boxed{\boxed{\tt{So\:let's \:do\:it\::-}}}$

$\sf\underbrace{Perimeter_{(square)}\:\leadsto \:4\:×\:side}$

Let side of square = x

$\tt{4x\:=\:36}$

$\tt{x\:=\:\dfrac{36}{4}}$

$\tt{x\:=\:\cancel{\dfrac{36}{4}}}$

$\tt{x\:=\:9}$

$\boxed{\frak{ \therefore {\purple{Side\:of\:square\:lawn\:=\:9m}}}}\:\pink\bigstar$

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Now,

$\sf\underbrace{Area_{(square)}\:\leadsto \:(side)^2}$

$\longmapsto$ $\tt{(9)^2}$

$\longmapsto$ $\tt{9\:\times\:9}$

$\longmapsto$ $\tt{81}$

$\boxed{\frak{ \therefore {\purple{Area_{(Square\:Lawn)}\:=\:81m^2}}}}\:\pink\bigstar$

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