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labwork [276]
2 years ago
12

Ann's first option is a plot of land adjacent to a current park.

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
4 0

Given:

The equation for the area of the first option is:

x^2+200x=166400

Where x is the side length of the current square park.

To find:

The side length of the current square park.

Solution:

We have,

x^2+200x=166400

It can be written as:

x^2+200x-166400=0

Splitting the middle term, we get

x^2+520x-320x-166400=0

x(x+520)-320(x+520)=0

(x-320)(x+520)=0

x=320,-520

We know that the side length of a park cannot be negative. So, the only possible value of x is 320.

Therefore, the most direct method to solve the given equation is splitting the middle term and the side length of the current square park is 320 meters.

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