Length Size
May 31st, 2010
What is the size (length & width in cm) of a phone screen that is 4.3 inches big?
What is the size (length & width in cm) of a phone screen that is 4.3 inches big (10.9cm diagonally) with a ratio of 800:480?
Let w = width
Then the length is (800 / 480) * width = (5w/3)
Since the Pythagorean Theorem holds:
w^2 + (25w^2/9) = (10.9)^2
9w^2 + 25w^2
——————— = 118.81 …………..Multiply both sides by 9
……9
34w^2 = 1,069.29
w^2 = 31.44971
w = 5.61…………..and since the length is (5/3) * 3, length = 9.35
Summarizing
**********************
length = 9.35 cm
width = 5.61 cm
**********************
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