Question

WXYZ is a parallelogram and ZQ ⊥ WX and XP ⊥ WZ. If WX=12
cm, WZ = 18 cm and XP = 6cm. Find ZQ

Answer 1

Answer:

Solution

Area of parallelogram

=

h

e

i

g

h

t

×

b

a

s

e

When base is WX

Then height is ZQ

Area =

8

×

2

…(i)

When base is ZW then height is XP

Area =

Z

W

×

X

P

…(ii)

Since, parallelogram is same hence area will also be same.

8

×

2

=

8

×

Z

W

ZW = 2 (ZW = XY).