Question

The heightof a parallelogram is one-third of its base. if the area of the parallelogram is 512 cm find the base and the height.

Answer 1

let the base of the parallelogram be X.
yeah the height of the parallelogram is one third of its base .
$height = \frac{1}{3}x$
AREA OF PARALLELOGRAM=512sqcm
.............................(GIVEN)
WE KNOW THAT,
AREA OF PARALLELOGRAM=
base × height
$512 = x \times \frac{1}{3}x$
$512 = x \times \frac{x}{3}$
$512 = \frac{ {x}^{2} }{3}$
$512 \times 3 = {x}^{2}$
$1536 = {x}^{2}$
x=16√6cm
BASE=16√6cm
height=1/3×base
=1/3×16√6
height =5.33√6cm