Question

ABCD and JKLM are similar rectangles. What is the perimeter of JKLM?

21 m
22 m
24 m
28 m

Answer 1

1) 3 / x = 4 / 6
2) 4x = 18
3) x = 4.5
4) 4.5 + 6 + 4.5 + 6 = 21
Answer: 21 m

Answer 2

Option A is correct.

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.

⇒
`(AD)/(JM)=(CD)/(LM)`

So,
`(3)/(JM)=(4)/(6)`

`JM=(3*6)/(4)`

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.