The widths of two similar rectangles are 6 m and 21 m. What is the ratio of the perimeters? Of the areas?

Possible Answers:
A) 3 : 8 and 9 : 64
B) 2 : 7 and 9 : 64
C) 2 : 7 and 4 : 49
D) 3 : 8 and 4 : 49

Thanks!

Question

The widths of two similar rectangles are 6 m and 21 m. What is the ratio of the perimeters? Of the areas?

Possible Answers:
A) 3 : 8 and 9 : 64
B) 2 : 7 and 9 : 64
C) 2 : 7 and 4 : 49
D) 3 : 8 and 4 : 49

Thanks!

amistre64 · Answer

6 to 21 = 2 to 7; so its either B or C by that

anonymous · Answer

Ya, I went with C, but it was just a guess

amistre64 · Answer

if we assume a height of 6; then the height of the other is 21

36 area and 441

(1 to 12.25) 4 =  4 to 49;   C

anonymous · Answer

Great, I had thought so. Thank you for checking my work!

amistre64 · Answer

spose we assume a height of 4; does it still work?

6(4) = 24

(6)(3.5)(4)(3.5) = 294

294/24 = 12.25 ...so yeah...it agrees

anonymous · Answer

Cool. Thank You!