The length and width of the screen of the TV set are in the ratio 16:9. If the perimeter of the screen is 180cm find its length and width

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02-05-2018
Mathematics

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The length and width of the screen of the TV set are in the ratio 16:9. If the perimeter of the screen is 180cm find its length and width

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calculista calculista · Answer 1 · 2018-05-11T20:19:23+02:00

let
x--------> the length of the screen of the TV
y--------> the width of the screen of the TV

we know that
perimeter of the screen=2*[x+y]
perimeter=180 cm
180=2*[x+y]-----> 90=x+y--------> equation 1

x/y=16/9------>x=(16/9)*y-----> equation 2

substitute the equation 2 in equation 1
90=[(16/9)*y]+y----------> (25/9)*y=90------> y=32.4 cm
x=(16/9)*32.4-----> x=57.6

the answer is
the length of the screen of the TV is 57.6 cm
the width of the screen of the TV is 32.4 cm