A wire is in the shape of a rectangle. Its length is 40 cm and breadth

1.	A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of eachside? Also find which shape encloses more area and by how much?
Answer» ⭐ Question A wire is in the shape of a RECTANGLE. Its LENGTH is 40 cm and breadth is 22 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? ${\underline{\bf { Given \: that } }}$ A wire is in the shape of a rectangle has length of 40 cm and breadth of 22 cm. ${\underline{\bf { To \: find: } }}$ 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 and by how much? ${\underline {\bf { Solution : } }}$ According to question- $\rm\blue {Perimeter \: of \: rectangle = Perimeter \: of \: square }$ $\rm { \therefore 2(Length + Breadth) = 4 \times Side }$ $\rm { \longrightarrow 2 (40 + 22) = 4 \times Side }$ $\rm { \longrightarrow 2 \times 62 = 4 \times Side }$ $\rm { \longrightarrow 124 = 4 \times Side }$ $\rm { \longrightarrow Side = \dfrac{124}{4}}$ $\rm\red { Side = 31 cm}$ Now, $\rm {\implies Ar. \: of \:rectangle = length \times breadth }$ $\rm {\implies Ar. \: of \:rectangle = 40 \times 22 = 880 {cm}^{2} }$ and, $\rm { \implies Area \: of \: square = {(Side)}^{2} }$ $\rm { \implies 31 \times 31 = 961 {cm}^{2} }$ $\rm\purple { 880 {cm}^{2} < 961 {cm}^{2} }$ Therefore, the square-shaped wire encloses more area.

A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of eachside? Also find which shape encloses more area and by how much?

Answer»

⭐ Question

A wire is in the shape of a RECTANGLE. Its LENGTH is 40 cm and breadth is 22 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?

${\underline{\bf { Given \: that } }}$