Riley made a scale drawing of a triangular clock face. Riley used a scale factor of 3 when making her drawing. If the base and the height of Riley's drawing are 10 centimeters and 15 centimeters respectively, what is the area of the triangular clock face?
A. 75 square centimeters
B. 225 square centimeters
C. 675 square centimeters
D. 2,700 square centimeters
we know that [scale factor ]=[real]/[drawing] [real]=[drawing]*[scale factor ]
step 1 find the real values
if the base of Riley's drawing is 10 centimeters [real]=[drawing]*[scale factor ]--------> 10*3-------> 30 cm the base of the triangular clock face is 30 cm
the height of Riley's drawing is 15 centimeters [real]=[drawing]*[scale factor ]--------> 15*3-------> 45 cm the height of the triangular clock face is 30 cm
the area of the triangular clock face is-----> 45*30/2-------> 675 cm²
the answer is the option C. 675 square centimeters
