Question

A square field has a perimeter of 96m.What is it's area?​

Answer 1

Step-by-step explanation:

perimeter= 4* side

96=4*side

=24

Answer 2

Given :

A square field has a perimeter of 96m.

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To Find :

It's area?

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Used Formulaes :

$\large \bf \red⇝ \: Perimeter \: _{(Square)} \: = \: 4 × Side$

$\large \bf \red⇝ \:Area \: _{(Square)} \: = \: Side \times Side$

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Solution :

A square field has a perimeter of 96m.

We know that,

$\large \bf ⟹\red{\: Perimeter \: _{(Square)} \: = \: 4 × Side}$

Now,

$\large \bf \red{⟹}\: 96m \: _{(Square)} \: = \: 4 × Side$

$\large \bf \displaystyle \bf\red{⟹}\: \cancel\frac{96}{4} \: = \: Side$

$\large \bf \displaystyle \bf\red{⟹}\:24\: = \: Side$

∴ Side = 24

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Now,

$\large \bf⟹\red { \: Area \: _{(Square)} \: = \: Side \times Side}$

$\large \bf \red {⟹}Area \: _{(Square)} \: = \: 24 \times 24$

$\color{navy}{\large \bf \red{⟹} \underline{\boxed{\color{navy}{ \bf Area \: _{(Square)} \: = \: 576 }}}}$

Hence,

∴ The area of the square field is 576m²

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Verification :

Here,

Side = 24m

Area = 576m²

We know that,

$\large \bf\red {⟹}Area \: _{(Square)} \: = \: Side \times Side$

$\large \bf \red {⟹}576 \: = \: 24 \times 24$

$\large \bf\red {⟹} \boxed{ \bf 576 \: = 576}$

∴ L.H.S = R.H.S

Hence verified !!

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