Area of a Parallelogram

Area  =   base  x  height
Area =  b  x  h  = or  bh

If the area is given, then the height, h or the base b may be found as:

Height, h = \( \frac{Area}{Base, \: b} \)

Base, b = \( \frac{Area}{Height, \: h} \)

Example 1:

Calculate the area of the parallelogram below:

Solution:

Base (b) = 15cm

Height (h) = 10cm

Area  =   bh   =  15cm  ×  10cm

= 150cm²

Example 2:

A parallelogram has an area of 45cm² and its base is 5cm. Find the height of the parallelogram.

Solution:

Area of parallelogram = 45cm²

Base of parallelogram   =  5cm

height, h = \( \frac{Area}{base} \\ = \frac{45cm^2}{5cm}\\ = \scriptsize 9cm\)

The height of the parallelogram is 9cm