Answer :

Sure! Let's work through the problem step-by-step.

To calculate the area of the base of the box, we need to consider the box's dimensions that form the base. The base of the box can be identified by its length and width. In this case:
- The length of the box is 75 cm.
- The width of the box is 60 cm.

The formula to calculate the area of a rectangle (which is the shape of the base of the box) is:
[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]

Substituting the given measurements into this formula:

[tex]\[ \text{Area} = 75 \, \text{cm} \times 60 \, \text{cm} \][/tex]

When you perform this multiplication:

[tex]\[ \text{Area} = 4500 \, \text{cm}^2 \][/tex]

Therefore, the area of the base of the box is [tex]\(4500 \, \text{cm}^2\)[/tex].