<PRE><B>Question 1009282</B>
For the larger TV, we can call the legs 16x and 9x.  Then like you said, using the Pythagorean Theorem, we have
a^2 + b^2 = c^2
(16x)^2 + (9x)^2 = 50^2
256x^2 + 81x^2 = 2500
337x^2 = 2500
x^2 = 2500/337 = 7.4184
x = 2.724
Then we can multiply that factor by 16 and 9 to get the dimensions of the larger TV and get
16(2.724) = 43.584
9(2.724) = 24.516
To find the area, we multiply these and get
A = LW = 1068.5 in^2
Divide $550 by that and get
$0.5147 per square inch.
Now repeat that exact same procedure, using the smaller TV.</PRE>