Question

7. In the given figure. AABC and ADEF are similar. B=3 cm. EF=4 cm and area of
AABC = 54 cm^2. Determine the area of ADEF.
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Answer 1

Answer:

96cm^2

Step-by-step explanation:

ar(AABC) / ar(ADEF) = (BC /EF) ^2

(by the theorem)

54cm^2 / ar(ADEF) = (3/4) ^2

= 54/ ar(ADEF) = 9/16

= 9 * ar(ADEF) = 54 * 16

= ar (ADEF) = 54 *16 ÷ 9

= ar (ADEF) = 96 cm^2

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