Question

find the area and value of x for the following parellolograms
pls tell step by step ans=36,6​

Answer 1

Answer:

Area of parallelogram ABCD $=36 cm^2$

$x = 6 cm$

Step-by-step explanation:

AD = BC = 4 cm  [Opposite parallel sides of a parallelogram]

Area of parallelogram ABCD

= Length of parallel sides x perpendicular distance between the parallel lines.

= AD x BQ = 4 cm x 9 cm $=36 cm^2$  . . . . . . . . . . . . . .  (i)

Again, Area of the same parallelogram ABCD

= Length of parallel sides x perpendicular distance between the parallel lines.

= AB x DP = x cm times 6 cm $=6x cm^2$ . . . . . . . . . . .  (ii)

∴ $6x = 36$   [equating (i) and (ii)]

∴ $x = 6 cm$