Respuesta :

let Length be [tex] l [/tex] be $b$ ,

given : $l=2b$

and area, $lb=0.5294$

put $l=2b$ in equation of area,

$2b^2=0.5294 \implies b^2=0.2647 \implies b=0.5144$

and $l=1.0288$

perimeter =$2(l+b)=3.0864$ km

The perimeter of the field will be equal to 3.0864 km.

What is a perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The perimeter of the rectangle is the sum of all the sides of the rectangle.

It is given that a rectangular playing field is twice as long as it is broad. If its area is 0.5294 square km.

The perimeter of the field will be calculated as below:-

let Length be b

l=2b

l x b=0.5294

Put l=2b in the equation of area,

2b²=0.5294

b² =0.2647

b=0.5144 and l=1.0288

The perimeter will be calculated as:-

perimeter =2(l+b)=3.0864 km

Therefore, the perimeter of the field will be equal to 3.0864 km.

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