A = 1cm = 7.5ft
B = 1cm = 3.75ft
Above are two different models of the same pentagon. If the length of side b is 32 cm, what is the length of side a?
A.
8 cm
B.
28.25 cm
C.
16 cm
D.
40 cm
B. 28.25 cm
Using the scale factor A = 1cm = 7.5ft, 32 cm becomes 32*7.5 = 240 ft. Then, using the scale factor B = 1cm = 3.75ft, 240 ft becomes 240/3.75 = 64 cm.
Therefore, side a is 64 cm.