length of a side of a square whose area is 80*244/729 square meters
Answers
Answer:
Step-by-step explanation:
As per the provided information in the given question, we have :
- Area of the square is m².
We are asked to calculate the length of its side.
Let the length of its side be .
As we know that,
So, according to the question, we can write it as,
Converting the mixed fraction into proper fraction.
Now, putting the sign of square root (or radical) on both side to balance the equation.
As we know that,
- √(a²) = a
- √a/√b = √(a/b)
So,
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★ Finding the square root of 58564 :
By prime factorisation,
⇒ 58564 = 2 × 2 × 11 × 11 × 11 × 11
- Making the pairs of common factors and picking up each factor from each pair.
⇒ √58565 = 2 × 11 × 11
⇒ √58565 = 242
★ Finding the square root of 729 :
By prime factorisation,
⇒ 729 = 3 × 3 × 3 × 3 × 3 × 3
- Making the pairs of common factors and picking up each factor from each pair.
⇒ √729 = 3 × 3 × 3
⇒ √729 = 27
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∴ Length of the side of square is .
Given :-
To Find :-
- Length of the side of that square.
Solution :-
❍ To calculate the length of the side of that square we must know that ::
- Area of a square = Side × Side
- Side of square = √Area
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Finding the side :-
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀
- Henceforth, Side of the square is 242/27 m