Question

the base of the parallelogram is twice its height the area of a parallelogram is 512 CM square find the base and height​

Answer 1

Answer:

base is 32cm

height is 16 cm

Step-by-step explanation:

ACOORDING TO QUESTION

LET HEIGHT BE X

SO BASE = 2X

2X * X = 512

2X^2 = 512

X^2 = 512/2

X^2 = 256

X =

$\sqrt{256}$

X = 16

SO HEIGHT = 16 CM

BASE IS 2X

2 * 16

32 CM

I HOPE YOU LIKE IT

PLEASE MARK IT AS BRAINLIEST

Answer 2

Answer:

32 cm

Step-by-step explanation:

★ GIVEN :

• The base of the parallelogram is twice its height the area of a parallelogram is 512 CM ²

★ TO FIND :

• find the base and height

★ SOLUTION :

Let the Height be x cm

Then, the base = 2x cm

∴ Area of the ||gm = ( base x height)

$\implies$ = ( 2 x × x ) cm ²

$\implies$ = ( 2 x ² ) cm ²

But , Area of the ||gm = 512 cm ²

∴ 2 x ² = 512 <=> x² = 256 <=> x = √256

$\implies$ = 16

$\implies$ ∴ Hight = 16 cm and base = 32 cm

• Hence, the base of the ||gm is 32 cm and its height is 16 cm

★ ADDITIONAL INFORMATION :

• A parallelogram is any 4 sided figure whose opposite sides are parallel and equal to each other.

• A rectangle is a special case of a parallelogram where adjacent sides are perpendicular to each other:

• A square is a special case of a rectangle and thus a parallelogram where all sides are equal and all angles are also right angles.

• A rhombus is also a special case of a parallelogram where all sides are equal but the angles are not right angles.