Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard?

22.4m

Let's assume the width of Alice's backyard is "w" meters.

Since the length is twice as long as the width, the length would be "2w" meters.

The formula to calculate the area of a rectangle is length multiplied by width, which is given by:

Area = length × width

Given that the area of Alice's backyard is 1,000 m², we can set up the equation:

1,000 = 2w × w

To solve for w, we can simplify the equation:

1,000 = 2w²

Dividing both sides of the equation by 2:

500 = w²

Taking the square root of both sides:

√500 = √(w²)

Approximately, w = 22.37 meters.

Therefore, the approximate width of Alice's backyard is approximately 22.37 meters.

To find the approximate width of Alice's backyard, we can set up an equation based on the given information. Let's say the width of the backyard is 'w' meters. According to the problem, the length of the backyard is twice as long as its width, so the length would be '2w' meters.

The area of a rectangle is calculated by multiplying its length by its width. In this case, the total area of the backyard is given as 1,000 m^2. Therefore, we can write the equation:

w * 2w = 1000

Simplifying the equation, we have:

2w^2 = 1000

Dividing both sides of the equation by 2, we get:

w^2 = 500

Taking the square root of both sides, we find:

w ≈ √500 ≈ 22.36

Therefore, the approximate width of Alice's backyard is approximately 22.36 meters.

w * 2w = 1000

2w^2 = 1000
w^2 = 500
w = 10√5