Question

1. pentagons if ( abcde sim pqrst ), find the scale factor of ( abcde ) to ( pqrst ) and the perimeter of each polygon.

Explanation:

Step1: Find scale factor

$\text{Scale factor} = \frac{\text{Corresponding side of } PQRST}{\text{Corresponding side of } ABCDE} = \frac{7}{15}$

Step2: Calculate perimeter of ABCDE

$P_{ABCDE} = 15 + 20 + 15 + 10 + 15 = 75$

Step3: Calculate perimeter of PQRST

$P_{PQRST} = P_{ABCDE} \times \text{Scale factor} = 75 \times \frac{7}{15} = 35$

Answer:

Scale factor: $\frac{7}{15}$
Perimeter of $ABCDE$: $75$
Perimeter of $PQRST$: $35$