Question

The figure shows a parallelogram with its sides indicated. Find the perimeter of the parallelogram

Answer 1

Answer:

44 cm

Step-by-step explanation:

It is given that given figure is a parallelogram

Thus, opposite sides are equal.

$\sf \bf :\longmapsto x+y+1 = 3x-4$

$\sf \bf :\longmapsto 2x -y=5\ \ .. .. .. -(i)$

$\sf \bf :\longmapsto 2y-x =x+2$

$\sf \bf :\longmapsto 2x-2y = -2\ \ .. .. .. -(ii)$

Now subtracting (ii) from (i):

$\sf \bf :\longmapsto -y + 2y = 7$

$\boxed{\sf \bf :\longmapsto y = 7}$

$\boxed{\sf \bf :\longmapsto x = 6}$

Thus , perimeter of parallelogram becomes,

$\sf \bf :\longmapsto 2(14 + 8)$

$\sf \bf :\longmapsto 2(22)$

$\sf \bf :\longmapsto 44 cm$

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