tThe sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

Question

campbell_st · Answer

the ratio of areas is  1:9 

in area ratios is the square of the linear measurement

(1)^2:(3)^2           gives 1:9

the the 4 measurements have been tripled to increase the area by 9

then shortest measurement      3 x 3 = 9 units long

the other sides                            4 x 3 = 12, 5, x 3 = 15 and 6 x 3 = 18

hope this helps