Question

) Given AABC~ADEF. If AB = 2DE and area of AABC is 56sqcm, Find the area of ADEF

Answer 1

Answer:

ar(ΔDEF) = 14 cm²

Step-by-step explanation:

Ratio of areas of 2 similar triangles is equal to the square of the ratio of their corresponding sides.

ar(ΔABC) / ar(ΔDEF) = (AB / DE)²

56 / ar(ΔDEF) = (2DE / DE)²

56 / ar(ΔDEF) = 4

ar(ΔDEF) = 56 / 4 = 14 cm²