Question

If ∆ ABC ~ ∆ DEF , BC = 4 cm , EF = 5 cm and ar( ABC ) = 80 cm² , than ar( DEF ) =

A) 100cm²
B) 125cm²
C) 150cm²
D) 175 cm²

Please send the pictures of step by step explanation. ​

Answer 1

125cm² is the correct answer

Since the areas of the traingles are congruent, so

the areas are equal

Ar∆ABC/ Ar∆DEF = BC²/EF²

80cm²/ Ar∆DEF= 4²/5²

16 Ar∆DEF = 80×25

Ar∆DEF= 2000/16

Ar∆DEF= 125 cm²

Answer 2

Answer:

answer is (B) 125 cm²

I hope this answer help you ..