Answer:
RS = 4.8
Explanation:
The pentagon PQRST is obtained by scaling JKLMN by a factor of 1.6.
The scale factor is found by taking the ratio of the similar sides.
scale factor = PQ/JK = 1.6/1 = QR/KL = 3.2/2 = 1.6
Therefore, the ratio of RS to LM must also be 1.6
[tex]\frac{RS}{LM}=\frac{RS}{3}=1.6[/tex]
Thus we have
[tex]\frac{RS}{3}=1.6[/tex]
multiplying both sides by 3 gives
[tex]RS=1.6\times3[/tex][tex]RS=4.8[/tex]
which is our answer!
