SOLUTION: Please show me a complete solution to the following word problem: Tom is buying a 42 inch 1080p television on sale for 40% off. If the aspect ratio is 16:9 and the frame around t

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Question 1063481: Please show me a complete solution to the following word problem: Tom is buying a 42 inch 1080p television on sale for 40% off. If the aspect ratio is 16:9 and the frame around the screen is 1 inch wide,will it fit in an entertainment center with an opening that is 36 inches by 24 inches? Show work that supports your conclusions (remember that televisions are measured diagonally).
Thank you for your time and help.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal of the screen is +42+ in
Let +a+ = a fixed value of a multiplier
Let the dimensions of the screen be
+16a+ by +9a+
------------------------
+%28+16a+%29%5E2+%2B+%28+9a+%29%5E2+=+42%5E2+
+256a%5E2+%2B+81a%5E2+=+1764+
+337a%5E2+=+1764+
+a%5E2+=+5.2344+
+a+=+2.2879+
+9a+=+20.591+
+16a+=+36.606+
--------------------
I see that the length exceeds +36+ inchs
so the TV will not fit in the opening
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definitely get a 2nd opinion on this