Mathematics
Grade5
Easy

Question

Steven calculated the area of a square to be 1 over 81 square yard. What is the side length of the square?


  1. 1 over 9 S q. space y a r d s
  2. 1 over 18 S q. space y a r d s  
  3. 1 over 10 S q. space y a r d s       
  4. 2 over 5 S q. space y a r d s

hintHint:

calculate the square root of 1/81

The correct answer is: 1 over 9 S q. space y a r d s


    text  Area of a square  end text equals 1 over 81 s q. y a r d s
text  Side  end text x text  side  end text equals 1 over 81 text  sq. yards.  end text
text  Side length  end text equals square root of 1 over 81 end root equals 1 over 9 text  sq. yards  end text

    Given, area of square = 1/81 sq yard. This means that the square of side length is 1/ 81. This means that we need to find the square root of 1/ 81. Square root of 1 is 1.  To find the square root of 81, let’s find the factors of 81.  By using hit and trial method, we can write that 81 = 3 x 3 x 3 x3 = 9 x 9. Hence, 9 is the square root of 81. Hence, our required answer is 1/9 , which is the square root of 1/81.

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