Question

IFA ABC-A DEF such that AB = 1.2 cm and DE = 1.4 em, the ratio of the
areas of a ABC and A DEF is​

Answer 1

Answer:

Given : ABC ~ DEF

AB = 1.2 cm

DE = 1.4 cm

therefore, ratio of areas of ABC and DEF is the ratio of squares of their corresponding sides

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

ar(ABC) / ar(DEF) = (1.2)^2 /(1.4)^2

==> ar(ABC) / ar(DEF)  = 36/49

ar(ABC) : ar(DEF) = 36:49