A rectangular park has a length that is twice its width. If the total area of the park is 1,600 square meters, what is the perimeter of the park?
Let the width be represented as $w$ meters. Then the length would be $2w$ meters. The area can be expressed as:
$$ ext{Area} = ext{length} imes ext{width} = 2w imes w = 2w^2$$
From the information given, we can set up the equation:
$$2w^2 = 1600$$
Use this to find the values of $w$ and subsequently the perimeter calculated using:
$$ ext{Perimeter} = 2( ext{length} + ext{width})$$