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Answer:
hey your solution is as follows
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so here we go
Step-by-step explanation:
now since quadrilateral abde is a rectangle
ae=bd=2x and ed=ab
as opposite sides of rectangle are equal
so then
moreover triangle bcd is an equilateral triangle
thus then each angle of it would be of 60 degree measure each (1)
thus also ad parallel to bc
so by alternate angles theorem
we get
angle cbd=angle bda
ie angle cbd=angle bda=60 degree each
from (1) (2)
so as quadrilateral abcd is rectangle angle a=angle b=angle c=angle d=90
as all angles in rectangle are of 90 degree each
so considering triangle abd
angle bda=60 (from (2))
angle dba=90
thus angle dab=30 (remaining angle)
so this is a 30-60-90 degree triangle
thus ab=root 3/2×ad
(side opposite to 60)
also bd=1/2×ad
(side opp. to 30)
thus 2x=1/2×ad
ie ad=4x
so thus then
ab=root 3/2×ad
=root 3/2×4x
hence ab=2root 3 x units