Answer:
Option A is correct.
Step-by-step explanation:
Given: ABCD and JKLM are similar triangles.
AD = 3 m , CD = 4 m and ML = 6 m
To find: Perimeter of rectangle JKLM.
If two rectangles are similar then their corresponding sides are in equal ratio.
⇒ [tex]\frac{AD}{JM}=\frac{CD}{LM}[/tex]
So, [tex]\frac{3}{JM}=\frac{4}{6}[/tex]
[tex]JM=\frac{3\times6}{4}[/tex]
JM = 9/2
JM = 4.5 m
Perimeter of rectangle JKLM = 2 ×( JM + LM ) = 2 × ( 4.5 + 6 ) = 2 × 10.5 = 21 m
Therefore, Option A is correct.
