Question

Find the area of AEFG. AEFG ~AABC M ^ G A B C Area of AABC= 18 sq ft [?] ft Enter

Answer 1

Given:

`\begin{gathered} FG=2\text{ ft} \\ BC=3\text{ ft} \\ \text{Area of a }\Delta ABC=18\text{ }sq\text{. ft} \end{gathered}`

Triangle EFG similar to triangle ABC

`\begin{gathered} \frac{\text{Area of a }\Delta EFG}{Area\text{ of a }\Delta ABC}=(FG^2)/(BC^2) \\ \frac{\text{Area of a }\Delta EFG}{18}=(2^2)/(3^2) \\ \text{Area of a }\Delta EFG=(4)/(9)*18 \\ \text{Area of a }\Delta EFG=8\text{ sq. ft} \end{gathered}`