Question

If Δ ABC ~ Δ DEF and if AB = 9cm, DE = 5.4cm and perimeter of Δ DEF is 15cm, then find the perimeter of Δ ABC..

Answer 1

Answer:

$The \: perimeter \: of \: ΔABC \: is \: 25cm.$

Step-by-step explanation:

$Let \: the \: perimeter \: of \: ΔABC \: be \: x</p><p>$

$\frac{Perimeter \: of \: ΔABC}{Perimeter \: of \: ΔDEF} = \frac{AB}{DE}$

$\frac{x}{15} = \frac{9}{5.4}$

$\frac{x}{15} = \frac{1}{0.6}$

$\frac{x}{15} = \frac{10}{6}$

$\frac{x}{15} = \frac{5}{3}$

$Cross \: multiply$

$3x = 15 \times 5$

$x = \frac{15 \times 5}{3}$

$x = 5 \times 5$

$x = 25$

$Therefore, \: the \: perimeter \: of \: ΔABC \: is \: 25cm.$