A) 20 cm
B) 30 cm
C) 35 cm
D) 47 cm
Correct Answer: B
Solution :
[b] Given, \[\Delta ABC-\Delta DEF\] |
\[\therefore \,\,\,\,\,\,\,\,\frac{\text{Perimeter of}\,\,\Delta \text{ABC}}{\text{Perimeter of}\,\,\Delta \text{DEF}}=\frac{AC}{DE}\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\frac{AB+BC+AC}{\text{Perimeter of}\,\,\Delta \text{DEF}}=\frac{AC}{DF}\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\frac{4+3.5+2.5}{\text{Perimeter of}\,\,\Delta \text{DEF}}=\frac{2.5}{7.5}\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\frac{10}{\text{Perimeter of}\,\,\Delta \text{DEF}}=\frac{1}{3}\] |
\[\Rightarrow \] Perimeter of \[\Delta DEF=3\times 10=30\] |
Hence, perimeter of \[\Delta DEF\] is 30 cm. |
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