Final answer:
Area is a mathematical concept measuring a 2 D surface within a boundary, expressed in squared units. To find the area, multiply length by width. For unit conversion of area, apply dimensional analysis to convert cm² to m², ensuring unit cancellation.
Step-by-step explanation:
The question refers to the concept of area, which is the extent of a 2-dimensional surface enclosed within a boundary. This concept falls under the subject of Mathematics.
The extent or the amount of space covered by a shape or surface is given by its area, and it is usually measured in squared length units such as square meters (m²), square centimeters (cm²), or square inches (in²), etc.
To solve the mathematical problem completely involving area, we use the formula area = width × height, which indicates that the area is essentially the product of two linear measurements.
For example, if a rectangle has a width of 4 meters and a height of 3 meters, its area would be calculated as 4m × 3m = 12m².
To further understand the concept, let's apply the conversion between units of area. As mentioned, 1 cm² is equivalent to 10⁻² m (squared), which is equal to 10⁻⁴ m².
If one had to convert 1500 cm² to m², the conversion would look like 1500 cm² × (10⁻⁴ m²/cm²) = 0.15 m², ensuring that the units of cm² cancel out, leaving the desired units of m².