Question

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?

Answer 1

The approximate width of Alice's rectangular backyard, which has an area of 1,000 m² and a length twice its width, is 22.36 meters.

Step-by-step explanation:

We're given that Alice's backyard is rectangular and its length is twice as long as its width. Additionally, we know the area of her yard is 1,000 m². To find the width, we can set up an equation and solve for the unknown dimension.

Let's denote the width of the backyard as w meters. Since the length is twice the width, it would be 2w meters. The area of a rectangle is calculated by multiplying the length by the width, which can be expressed as:

Area = length × width

Substituting the known values, we get:

1,000 m² = w × 2w

Now, we solve for w:

1,000 m² = 2w²

Divide both sides by 2:

500 m² = w²

Take the square root of both sides:

w = √(500 m²)

w = 22.36 m

The approximate width of Alice's backyard is 22.36 meters.