The image you uploaded appears to contain a word problem regarding cutting a metal plate into small squares. Here's what I can extract from the image:

"A metal plate measuring 42 cm by 14 cm is cut into small squares of side length 7 mm. How many squares will be needed?"

Solution:

1. First, we need to convert the dimensions of the plate into millimeters (since the side length of the squares is in millimeters).

   • 1 cm = 10 mm.
   • So, the dimensions of the plate in millimeters are:
     • 42 cm = 420 mm
     • 14 cm = 140 mm.

2. Now, calculate the area of the metal plate: $\text{Area of the plate} = \text{Length} \times \text{Width} = 420 \, \text{mm} \times 140 \, \text{mm} = 58,800 \, \text{mm}^2$

3. Next, calculate the area of one small square: $\text{Area of one square} = \text{Side length}^2 = 7 \, \text{mm} \times 7 \, \text{mm} = 49 \, \text{mm}^2$

4. Finally, to find how many small squares will fit into the plate, divide the area of the plate by the area of one square: $\text{Number of squares} = \frac{\text{Area of the plate}}{\text{Area of one square}} = \frac{58,800 \, \text{mm}^2}{49 \, \text{mm}^2} \approx 1200 \, \text{squares}$

So, 1200 small squares of side 7 mm each will be needed.

Would you like more details on any part of the solution? Or do you have any other questions?

Here are 5 related questions you might be interested in:

1. What is the formula for finding the area of a rectangle and a square?
2. How do you convert measurements between centimeters and millimeters?
3. What is the difference between the perimeter and area of a rectangle?
4. How do you calculate the number of objects that fit into a given space?
5. What would happen if the side length of the small squares were different?

Tip: When working with area problems, always make sure your units are consistent before calculating. Converting all units to the same system, such as millimeters or centimeters, can help avoid errors.