ANSWER

EXPLANATION
We were given that

varies directly as

We can write this mathematically as,

This implies that,

where k is the constant of variation.

This implies that,


The equation becomes

When

y + (2x -12) = 180 (since they are supplementary angles)
(2x-12) = 96 ( since they are alternate exterior angle)
2x = 96 + 12
2x = 108
x = 108/2
x = 54.
y+( 2x-12)=180
y+(2× 54 -12) = 180
y + (108-12) = 180
y + 96 = 180
y= 180-96
y = 84.
The formula is: A=1/2 h (base one + base two)
<span>Plug in your numbers and you will get the area.</span>