Question

The length and breadth of rectangular field are 405 metre and 80 m respectively find the length of each side of square playground whose area is equal to the area of rectangular field

Answer 1

Find the area:

Area = Length x Breadth

Area = 405 x 80 = 32400 m²

Find the length of the square:

Area = Length²

Length² = 32400

Length = √32400

Length = 180 m

Answer: The length of the square playground is 180 m

Answer 2

$\Huge{ \boxed{ \boxed{Answer:}}}$




$length = 405 \: m. \\ breadth = 80 \: m.$




$Area = length \times breadth. \\ Area = 405 \times 80. \\ Area = 32400 \: {m}^{2} .$




$Area \: of \: the \: rectangle = Area \\ of \: the \: square = 32400 \: {m}^{2}$


$area \: of \: the \: square = side \times side. \\ 32400 = {side}^{2} . \\ \sqrt{32400} = side. \\ 180 = side.$

$\boxed{side = 180 \: m}$