Question

A parallelogram has an area of 42 cm2. What would the area be if the base was one-third as long and the height was twice as long?

Answer 1

area of a parallelogram 'A' = base 'b' x height'h'

or, A=bh

now new base =b/3

new height =2h

therefore new area = 2h x b/3 =(2/3)bh

= two-thirds of the original area.

Answer 2

base x height = 42

1/3 base x 2 height = 1/3 x 2 x (base x height)

= 2/3(base x height)

= 2/3 x 42

Area = 28

Answer 3

=(2/3) of 42 , that is.