The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.

The first triangle has a base of 16
The second triangle has a base of 28

A) 4 : 7 and 16 : 49
B) 5 : 8 and 25 : 64
C) 5 : 8 and 16 : 49
D) 4 : 7 and 25 : 64

Thank you!

Question

The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.

The first triangle has a base of 16
The second triangle has a base of 28

A) 4 : 7 and 16 : 49
B) 5 : 8 and 25 : 64
C) 5 : 8 and 16 : 49
D) 4 : 7 and 25 : 64

Thank you!

anonymous · Answer

Here is an image of the problem

anonymous · Answer

A)

anonymous · Answer

Thanks. How positive are you that its correct? I had lots of trouble with this one.

anonymous · Answer

thank , click on good answer

anonymous · Answer

indeed, I have worked it out myself, and my answer concurs with your own. Thank you!

anonymous · Answer

16/28=8/14=4/7
4^2=16
7^2=49
16/49