SOLUTION: I have two questions that I have been toying with and they are driving me nuts. Can someone help please 1) a 10 inch tv has a width of 8 inches. WHat is its height? 2)Find

Question 196285: I have two questions that I have been toying with and they are driving me nuts. Can someone help please
1) a 10 inch tv has a width of 8 inches. WHat is its height?
2)Find a polynomial for the perimeter and for area.( shape is a rectangle)
top of the rectangle is x+6 the side is just the letter x.
Thanks in advance

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, I hope I'm in time to rescue your sanity. (lol)
1) The size of a TV is designated by the length of the screen's diagonal.
A 10" TV then has a diagonal of 10".
If the width of a 10" TV is 8", its height can be found by using the Pythagorean theorem: and in this case, c (the diagonal) is 10" and a is 8", so b would be the height of the TV.
Substitute c = 10, a = 8, and solve for b, the height.

Subtract 64 from both sides of the equation.
Take the square root of both sides.
or Discard the negative solution as the height can only be a positive value.
The height of the TV is 6"
2) Start with the formula for the perimeter of a rectangle: where L = length and W = width.In this problem, L = x+6 and W = x, so...
Expand.
Distribute the 2.

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