7. The length of a rectangular park is 2 km less than twice the width. The area of the park
is 9km? Find the dimensions of the park.

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

b

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