Question

the area of this triangle is six square meters.
image of a right triangle with vertical leg 3 m and horizontal leg 4 m
what is the same area in square centimeters?

a. ( 12 , \text{cm}^2 )

b. ( 6 , \text{cm}^2 )

c. ( 600 , \text{cm}^2 )

d. ( 1200 , \text{cm}^2 )

e. ( 60,000 , \text{cm}^2 )

Explanation:

Step1: Recall unit conversion for area

We know that \(1\) meter \( = 100\) centimeters, so for area, \(1\) square meter \(=(100\ cm)\times(100\ cm)= 10000\ cm^{2}\).

Step2: Convert 6 square meters to square centimeters

To convert \(6\ m^{2}\) to \(cm^{2}\), we multiply by the conversion factor. So \(6\ m^{2}=6\times10000\ cm^{2}\).
Calculating \(6\times10000 = 60000\).

Answer:

E. \(60,000\ cm^{2}\)