A) \[\text{22}.\text{5 cm}\]
B) \[\text{25 cm}\]
C) \[\text{27 cm}\]
D) \[\text{30 cm}\]
Correct Answer: D
Solution :
[d] Perimeter of |
\[\Delta ABC=(9+6+7.5)cm=22.5cm\] |
Let the perimeter of \[\Delta DEF\] be p cm. |
Given, \[\Delta DEF\tilde{\ }\Delta ABC\] |
\[\therefore \,\,\,\frac{\text{Perimeter of}\,\Delta \text{DEF}}{\text{Perimeter of}\,\,\Delta \text{ABC}}=\frac{EF}{BC}\,\,\,\Rightarrow \,\,\frac{P}{22.5}=\frac{8}{6}\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,p=\frac{22.5\times 8}{6}=\frac{225\times 8}{60}=30cm.\] |
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