Question

the longer side of a parallelogram is 54cm and the corresponding altitude is 16cm. if the altitude corresponding to the shorter side is 32cm, find the length of the shorter side.

Answer 1

Simply find the area in two ways:

if base is 54 and height is 16
area = 54(16)

if base is x and height is 32
area = 32x

32x = 54(16)
x = 54(16)/32 = 27