Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
× d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° = 
tan60° =
=
=
( multiply both sides by 6 )
opp = 6
, then
d₂ = 2 × 6
= 12
Thus
A =
× 12 × 12
= 6 × 12
= 72
Work out the top subtraction first:
3/9 - 8/12
= 1/3 - 2/3
= 1/3
and the bottom part:-
3/8 * 2 = 6/8 = 3/4
so now we divide -1/3 by 3/4
= -1/3 * 4/3 = -4/9