The area of a ΔABC is 16 cm2. If a similar ΔDEF has sides that are twice the length of ΔABC's sides, what is the area of ΔDEF?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 64 cm2.
ΔDEF has sides that are twice the length of ΔABC's sides.
Area ratio = (Scale factor)2
Scale factor = 2 ⇒ Area ratio = 22 = 4
Area of ΔDEF = 16 × 4 = 64 cm2