Question

A wire is in the shape of a rectangle. Its length is 32cm and breadth is 18 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?
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Answer 1

Step-by-step explanation:

Here,

Area of rectangle = l x b

= 32 cm x 18 cm

= 576 cm²

So,

As per question ,

Area of rec = area of square,

than,

Area of square = 576 cm²

length of square = √A

= √ 576cm²

= √ 24 ² cm²

= 24 cm

Hence,

Each side of square is 24cm .

Answer 2

${\huge{\pink {\overbrace {\underbrace {\purple{Answer}}}}}}$

$\huge{ \underline{given}} \\ \\ length = 32cm \\ \\ bradth = 18cm \\ \\ \star \: \pink{ \boxed{ \purple{area \: = l \times b }}}\\ \\ \implies \: 32 \times 18 \\ \\ \therefore \: \: area \: = 576 \\ \\ since \\ \\ area \: of \: recrtangle \: = area \: of \: square \\ \\ \implies \: \boxed{ \blue{ area \: of \: square \: = s \times s }}\\ \\ \implies \: 576 {cm}^{2} = {s}^{2} \\ \\ \implies \: \sqrt{576} = side \\</h3><p> \\ \huge{ \orange{ \boxed{ \red{side = 24cm}}}}$