Question

A wire is the shape of the rectangle.It length is 40 cm and breadth is 22cm .if the same wire is rebent in the shape of a square, what will be the measure of each side? Also find the which shape enolosese more area.​

Answer 1

${ \huge{ \green{ \underline{ \underline{ \green{ \mathbb{ \bigstar{ \green{answer}}}}}}}}} \: \\ \sf \: when \: wire \: is \: in \: rectangular \: shape : \\ \bf \: length = 40 cm\: and \: breadth = 22cm \\ \\ its \: perimeter = 2(length + breadth) \\ = > 2(40 + 22)cm \\ = > 2 \times 62cm = 124cm \\ its \: area \: = length \times breadth \\ = (40 \times 22) {cm}^{2} = 880 {cm}^{2} \\ \bf \: when \: the \: same \: wire \: is \: bent \\ \bf \: in \: the \: shape \: of \: a \: square : \\ its \: perimeter \: will \: be \: same \: as \: a \: \\ rectangular \: shape \: \\ \therefore \: perimeter = 124cm \\ = > 4 \times side = 124 \\ slide = \frac{124}{4} cm = 31cm \\ its \: area \: = (31) {}^{2} cm {}^{2} = 961 {cm}^{2} \\ \bf \: hence \\ the \: measure \\ \: of \: the \: side \: of \\ \: square \: is \: 31 \: and \: the \: square \: shape \: \\ encloses \: more \: area \:$