Question 1014373
That answer is wrong.  A quadrilateral is not a rigid body,
as is a triangle.  Trerefore the area of a quadrilateral
cannot be determined from only the sides.

Here are two quadrilaterals both with sides
34,50,36,48

{{{drawing(400,180,-50,62,-10,45,

line(0,0,34,0),
line(34,0,59,43.30127019),
line(59,43.30127019,23.01938041,42.12016293),
line(23.01938041,42.12016293,0,0),
locate(15,0,34), locate(40,23,50), locate(36,42,36), locate(13,24,48)


 )}}}

That quadrilateral has area 1480 sq. yards.

But look at the quadrilateral below.  It also has
sides 34,50,36,48.

{{{drawing(300,1375/7,-50,62,-10,45,

line(0,0,34,0),
line(34,0,-12.98463105,17.10100716),circle(-12.98463105,17.10100716,.6),
line(-12.98463105,17.10100716,-47.50398585,35.391568),
line(-47.50398585,35.391568,0,0),
locate(15,0,34), locate(9,13,50), locate(-22,13,48), locate(-30,30,36)


 )}}}

But its area is only about 291 square yards.

So something else has to be given to determine the area besides
just the 4 sides.  Did you leave out something?  Like one of its
angles had to be a right angle.  Maybe it was drawn in your book
with a 90° angle.  If so you can tell me what else was given in
the thank-you note form below and I'll get back to you.  BTW, I
do not charge at all because I do this for fun.

Edwin</pre>