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3 years ago

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

Mathematics

2 answers:

baherus [9]3 years ago

5 0

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

FrozenT [24]3 years ago

3 0

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.

⇒ $\frac{AD}{JM}=\frac{CD}{LM}$

So, $\frac{3}{JM}=\frac{4}{6}$

$JM=\frac{3\times6}{4}$

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.

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