The height of a parallelogram is one third of its base. If the area of the parallelogram is 192cm2, find its height and base.
Step 1
Let the base bexcm.
Height=13xcm.
Step 2
AreaofParallelogram=BaseXHeightBase×Height=192x×13x=192⇒13x2=192⇒x2=192×3⇒x2=576⇒x=√576⇒x=24cm
Base =x=24cm
And Height=13x=13×24
Height=8cm
Hence, Base =24cm and height =8cm
The height of a parallelogram is one third of its base. If the area of the parallelogram is 108cm2, find its base and height.