Final answer:
To find the area of a wall measured in centimeters, multiply the length and height in meters, then convert the result to square centimeters. Veronica's wall is 4 meters by 3 meters, giving an area of 120,000 cm^2 after conversion.
Step-by-step explanation:
Veronica is painting a wall that measures 4 meters long and 3 meters high. To calculate the area of the wall in centimeters, we first multiply the length and height in meters to get the area in square meters and then convert that result to square centimeters.
The area in square meters is:
Area = length × height
= 4 m × 3 m
= 12 m^2
To convert to square centimeters, we use the conversion factor that 1 meter equals 100 centimeters. Therefore, the area in square centimeters is:
Area in cm^2 = 12 m^2 × (100 cm/m)^2
= 12 m^2 × 10,000 cm^2/m^2
= 120,000 cm^2
So, the area of the wall Veronica is painting in centimeters is 120,000 cm^2.