Geometry- me ill give 20 points

You must use sinθ=  first to identify AC,
sin45= 
By cross multiplying!,,,
sin45× 24 = AC
AC= 16.97056275 (Rounded= 16.97)
So, now you have base! But the triangle's formula is  base× height,,, So , you need height which is BC,
To find BC, 
You could use cos , tan or sin as well, but I find Pythagorean Theorem slightly easy, So I'll show you that ---
Which is, +=
+= 
So, we have AC= 16.97, and AB= 24
That's sufficient for what we want,  let's plug in our values into the formula,
+ = 
Moving  to right,,
=  -
= 576-288
= 288
=  ( squaring both sides )
BC = 16.97 ft.
So, now we have Base = 16.97 and height same= 16.97
And now you can find the area,
 × base × height
 × 16.97 ×16.97 
To get 96 square feet.

First subtract 10 from both side
y^2+6y-16=0
(y+8)(y-2)=0
-8 and 2