Question

find the length of a side of a square field whose area is equals to a area of a rectangular field 48 metre by 12​

Answer 1

$Area \: of \: square = Area \: of \: rectangle \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {a}^{2} = lb \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {a}^{2} = 48 \times 12 \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {a}^{2} = 576 \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a = \sqrt{576 } \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a = +24 \: or \: -24 \\ Side \: cannot \: be \: negative.$

$So, \: the \: length \: of \: the \: square \: field \: is \: 24 \: m.$