Question

ABCD∼EFGH

AD=45 in. , EH=60 in. , and BC=15 in.

What is FG ?

Enter your answer in the box.

FG =
in.

Answer 1

Hmph.. This one is kinda tricky, I believe it's 7.85..

Answer 2

Answer: The measure of FG = 20 inches.

Explanation:

Since we have given that

ABCD~ EFGH

where, AD = 45 in.

EH = 60 in.

BC = 15 in.

We need to find the measure of FG.

Since the quadrilateral ABCD is similar to EFGH, then the ratio of their corresponding sides will be equal.

So, it becomes,

`(AD)/(EH)=(BC)/(FG)\\\\(45)/(60)=(15)/(FG)\\\\(3)/(4)=(15)/(FG)\\\\FG=(15* 4)/(3)=5* 4=20\ in.`

Hence, the measure of FG = 20 inches.