Question

The height of a parallelogram is one fourth of its base. If the area of the parallelogram is 225 cm square, find its base and height.

Answer 1

base=30cm
height=7.5cm

Answer 2

Heya, so lets get on with your problem real quick.
The height of the parallelogram is 1/4th of its base.
So, if the base is b, then the height is b/4.
$area \: of \: a \: parllelogram = base \times height$
so, in this case,
$b \times \frac{b}{4 } = 225 \\ or \: {b }^{2} = 225 \times 4 \\ or \: b = 15 \times 2 = 30 \: cm$
thus, the base of the parallelogram is 30 cm and the height will be 30/4 = 7.5 cm