# algebra

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A television screen measures 32 inches diagonally, and its aspect ratio is 4 to 3. Find the width and the height of the screen. (Round your answers to one decimal place.)

• algebra -

let the length be 4x and the width 3x

then (4x)^2 + (3x)^2 = 32^2
25x^2 = 32^2
5x = 32
x = 32/5

length is 4x = 128/5 = 25.6
width is 3x = 96/5 = 19.2

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