Question

length and breadth of a rectangle are equal. if perimeter of rectangle is 64cm, then find its area.​

Answer 1

$\boxed{Answer\:=>\:256cm^2}$

$\bold{Given\:,}$

$\bold{Length\:and\:breadth\:of\:the\:rectangle\:are\:equal\:.}$

$\bold{Let\:length\:of\:the\:rectangle\:be\:'x'\:}$

$\bold{Let\:breadth\:of\:the\:rectangle\:be\:'x'\:}$

$\bold{Perimeter\:of\:the\:rectangle\:=\:64cm}$

$\bold{Perimeter\:of\:the\:rectangle\:=\:2(l+b)}$

$\bold{64\:=\:2(x+x)}$

$\bold{64\:=\:2x+2x}$

$\bold{64\:=\:4x}$

$\bold{64\div4\:=\:x}$

$\bold{16\:=\:x}$

$\underline{Value\:of\:x\:=16}$

$\bold{Therefore\:,}$

$\bold{Length\:of\:the\:rectangle\:=\:16cm\:}$

$\bold{Breadthth\:of\:the\:rectangle\:=\:16cm\:}$

$\bold{Area\:of\:the\:rectangle\:=\:l\times b}$

$\bold{Area\:of\:the\:rectangle\:=\:16\times16}$

$\bold{Area\:of\:the\:rectangle\:=\:256cm^2}$

$\underline{Therefore\:area\:of\:the\:rectangle\:=\:256cm^2}$