Question

triangle DEF ~ triangle ABC if DE : AB =2:3 and ar of triangle DEF is equal to 44 sq units then, what is the area of triangle ABC

Answer 1

ΔDEF and ΔABC are similar. 
DE : AB = 2 : 3... 
So Ar(ΔDEF) : Ar(ΔABC) = 2² : 3² = 4 : 9

So Ar(ABC) = 44 /4 * 9 = 99 sq units.

Answer 2

Answer:

triangle DEF ~ triangle ABC

by theorem

ar DEF / ar ABC = (DE /AB) ^2

44/ ar ABC = (2/3) ^2

44/arABC =4/9

ar ABC = 44 ×9/4

ar ABC = 99 sq units