The text in the image is in Sinhala, and it seems to be a mathematical question that involves geometrical figures. I'll first transcribe the relevant part and break down the problem to offer a detailed solution.

Transcription:

03 (a)
පදනම්විය හැකි පරස්පර දුර 40 m හා 30 m යන ප්‍රමාණ වලට 1400 m² ක වර්ග ප්‍රමාණයක් ඇත.
ආවරණ 12 m හා 24 m යන ප්‍රමාණ වලින් සමන්විත වන පතුලේ 672 cm² වර්ග ප්‍රමාණයක් ඇත.

Let’s proceed with the solution for part (a). Based on the transcribed content, the question seems to deal with areas of shapes, likely involving dimensions of rectangles or other related figures. I will work through the details.

1. Understanding the problem:

   • There are given distances of 40 m and 30 m, which could represent the length and width of a rectangle.
   • The area mentioned is 1400 m², which might correspond to this rectangle.
   • Another shape (possibly a smaller rectangle or other figure) has dimensions of 12 m and 24 m with an area of 672 cm².

2. Converting units:

   • The area of 672 cm² should be converted into square meters if needed since other measurements are in meters. Let's convert that first:

$1 \, \text{m} = 100 \, \text{cm}$

$1 \, \text{m}^2 = 100^2 \, \text{cm}^2 = 10,000 \, \text{cm}^2$

Thus,

$672 \, \text{cm}^2 = \frac{672}{10,000} = 0.0672 \, \text{m}^2$

I'll need more specific information on part (ii) and (iii) to proceed accurately. Would you like me to continue with the solution or help with any particular part of the question?

Also, here are some related questions:

1. What is the formula for the area of a rectangle?
2. How do you convert cm² to m²?
3. What are the different ways to calculate the area of irregular shapes?
4. How can unit conversion impact area calculations?
5. How would you find the total surface area when combining multiple shapes?

Tip: Always ensure the units are consistent when calculating areas and perimeters to avoid confusion in results.