Sara and Arianna need a space for acrobatic dance training. The space has a length of 0.4 hm and a width of 600 dm. What is the area of the space in square meters?

1. Problem Description

Sara and Arianna need a space for acrobatic dance training. The space has a length of 0.4 hm and a width of 600 dm. What is the area of the space in square meters?

2. Solution Steps

First, we need to convert the given lengths to meters.

We know that 1 hm = 100 m, so 0.4 hm = $0.4 \times 100 = 40$ m.

We also know that 1 dm = 0.1 m, so 600 dm = $600 \times 0.1 = 60$ m.

Now we have the length and width in meters:

Length = 40 m

Width = 60 m

The area of a rectangle is given by the formula:

$Area = Length \times Width$

Therefore, the area of the space is:

$Area = 40 \times 60 = 2400$ square meters.

3. Final Answer

The area of the space they need is 2400 square meters.