Mathematics
Grade10
Easy

Question

Suppose a desktop screen has an area of 14.37 sq. inches. If the height of the screen is fraction numerator text diagonal end text over denominator square root of A R squared plus 1 end root end fraction,
Find the length of the diagonal, where aspect ratio AR= 16: 9.

  1. 2.04
  2. 3.08
  3. 2.84
  4. Cannot be determined

hintHint:

In this question, we have to find the length of the diagonal, where aspect ratio AR= 16: 9, if a desktop screen has an area of 14.37 sq. inches. If the height of the screen is fraction numerator text diagonal end text over denominator square root of A R squared plus 1 end root end fraction. We know that area is the product of height and width. So, we will form the equation and substitute the value of AR in the equation. After equating we will get the required result.

The correct answer is: Cannot be determined


    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell 14.37 equals fraction numerator text diagonal end text over denominator square root of left parenthesis 16 over 9 right parenthesis squared plus 1 end root end fraction cross times text width end text end cell row blank cell 14.37 equals fraction numerator text diagonal end text over denominator square root of 256 over 81 plus 1 end root end fraction cross times text width end text end cell row blank cell 14.37 equals fraction numerator text diagonal end text over denominator square root of 337 over 81 end root end fraction cross times text width end text end cell row blank cell 14.37 equals fraction numerator text diagonal end text over denominator 2.04 end fraction cross times text width end text end cell row blank cell text Diagonal×width end text equals 14.37 cross times 2.04 end cell end table
    Diagonal of the screen cannot be determined.

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