SOLUTION: The área of a square is 36 square feet. Which of the following measures is closets to the length of its diagonal?
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Question 1195290: The área of a square is 36 square feet. Which of the following measures is closets to the length of its diagonal?
Found 3 solutions by Theo, math_tutor2020, MathLover1:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
area of the square is 36.
that would be 6 on each side because 6*6 = 6^2 = 36
the (diagonal of the square) squared is equal to 6^2 + 6^2 = 72.
that makes the diagonal equal to sqrt(72).
sqrt(72) is equal to 6 * sqrt(2).
in decimal form, the diagonal is therefore equal to 8.48528.
round to integer, it is closer to 8.
round to 1 decimal place, it is closer to 8.5.
round to 2 decimal places, it is closer to 8.49.
actually, it is equally close to 8.48 or 8.49, even though the rules tell you to round to the next higher integer if the third decimal place is a 5.
take your pick, depending on what your selections are.
let me know if you need further assistance.
theo
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
The area is 36 square feet, so the side length is feet.
As a check: 6*6 = 36
Refer to the diagram below.
a = 6, b = 6 are the legs of the right triangle.
c = hypotenuse
Apply the pythagorean theorem
approximately
The diagonal is exactly feet long, or approximately 8.48528 feet
Round the decimal value however your teacher instructs.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
the area of a square is
side of a square is
then
the length of its diagonal:
exactly
approximately
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