Question

Find the area of a squar hark whase perimeter is 96cm. a). 576cm² b). 626cm²c). 1297cm²​

Answer 1

Given :-

Perimeter of the square = 96 cm

To Find :-

The area of the square

Solution :-

We know that,

Perimeter of a square = 4 × side

On inserting the values in the formula

We get ,

96 cm = 4 × side

$\implies\: side\: =\: {\bold{\dfrac{96}{4}}}$

=> side = 24

Therefore, measure of a side of the given square is 24 cm

Area of a square = side²

On inserting the values in the formula

We get ,

Area of the square = (24 cm)²

= 24 cm × 24 cm

= 576 cm²

Therefore, area of the given square is 576 cm²

Answer 2

Answer:

$\huge \sf \: given$

• Perimeter of square park - 96 cm

$\huge \sf \: to \: find$

Its area

$\huge \sf \: solution$

$\small \fbox {firstly \: lets \: understand \: the \: concept}$

$\sf \: there \: is \: a \: park \: in \: square \: park \: in \: \\ \sf \: which \: its \: perimeter \: is \: given \: and \: to \ \: \\ \sf \: find \: its \: area.$

$\sf \: So, first \: we \: have \: \\ \sf to \: find \: the \: side \: of \: square$

$\huge \bf \: side \: = \frac{perimeter}{4}$

$\huge \bf \: side \: = \frac{96}{4}$

$\huge \bf \: side \: = 24 \: cm$

$\small \fbox {now \: finding \: its \: area}$

$\huge \bf \: area = s \times s$

$\huge \bf \: area \: = 24 \times 24$

$\huge \bf \: area \: = {576 \: cm}^{2}$

$\huge \fbox {option \: (a)}$