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1 Answer
Jim G.
Feb 16, 2018

#12.57" cm"#

Explanation:

#"given two similar figures then "#

#• "linear ratio "=a:b#

#• " area ratio "=a^2:b^2#

#• " volume ratio "=a^3:b^3#

#"here area ratio "=49:16#

#rArr"linear ratio "=sqrt49:sqrt16=7:4#

#rArr"larger part of ratio"/"smaller part of ratio"="larger perimeter"/"smaller perimeter"#

#"we want the smaller perimeter (p)"#

#rArr7/4=22/plarrcolor(blue)"cross multiply"#

#rArr7p=4xx22#

#rArrp=(4xx22)/7~~12.57" cm to 2 dec. places"#

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