Answer:
The area of ∆DEF is 4 square centimeters.
Step-by-step explanation:
Given ∆ABC is similar to ∆DEF.
The perimeter of ∆ABC is five times the perimeter of ∆DEF. It means:-
(perimeter of ΔABC) = 5 times (perimeter of ΔDEF)
(perimeter of ΔABC) / (perimeter of ΔDEF) = 5
It means Scale factor, K = 5.
Given The area of ∆ABC is 100 square centimeters.
(area of ∆ABC) / (area of ∆DEF) = k²
100 / (area of ∆DEF) = 5² = 25.
(area of ∆DEF) = 100 / 25 = 4.
Hence, The area of ∆DEF is 4 square centimeters.
