The length of the park is 3.36km and the width is 2.68km
Explanation:
The park is rectangular.
Let L be the length of the park.
Let w be the width of the park.
According to the question:
L = 2w - 2
Area of the park = 9km²
We know:
Area of rectangle = length X width
9 = (2w - 2) X (w)
9 = 2w² - 2w
2w² - 2w - 9 = 0
On solving the quadratic equation we get:
w = 2.68 km
we know:
L = 2w - 2
So,
L = 2 (2.68) - 2
L = 3.36 km
Therefore, the length of the park is 3.36km and the width is 2.68km
