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Mars2501 [29]
2 years ago
13

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

Mathematics
1 answer:
hammer [34]2 years ago
7 0

The length of the park is 3.36km and the width is 2.68km

<u>Explanation:</u>

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

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Answer:

175/3 or 58.333...

Step-by-step explanation:

This is fairly complicated but I will try to make it as simple as possible. I also apologize in advance for how impossible it is to make fractions look like fractions. I also had to insert a bunch of unnecessary parentheses just because the fractions that I can make are relatively inaccurate.

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