SOLUTION: TV's are measured by the length of their diagonals. The ratio of a TV's length to width is 4:3 and its size is 55 inches. What is the perimeter around the TV?
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Question 1047690: TV's are measured by the length of their diagonals. The ratio of a TV's length to width is 4:3 and its size is 55 inches. What is the perimeter around the TV?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The ratio is 4:3 which means the width is 4x and the height is 3x where x is some positive number
Draw the diagonal on the rectangular tv image. You'll see a right triangle forming.
The legs of this triangle are 4x and 3x. The hypotenuse is 55. So,
a = 4x
b = 3x
c = 55
Let's use the pythagorean theorem to solve for x.
or
Ignore the negative x value. Recall that x must be positive.
------------------------------------
So we know that x = 11 now. Let's use this to find the width and height
width = 4*x = 4*11 = 44
height = 3*x = 3*11 = 33
This tv has a width of 44 inches (horizontal) and height of 33 inches (vertical)
Add up all the sides of the rectangle to get: 44+33+44+33 = 154
The perimeter is 154 inches
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