find the perimeter of a square whose diagonal is 6 unitslong
Answers
Answered by
1
Solutions :-
Given :
Diagonal of square = 6 unit
Find the length of side of square :-
Diagonal of square = side × √2
=> 6 = side × √2
=> side = 6/√2 = 4.24 unit
Now,
Find the perimeter of square :-
Perimeter of Square = 4 × side
= 4 × 4.24 unit
= 16.96 unit
Hence,
Perimeter of Square is 16.96 unit
Given :
Diagonal of square = 6 unit
Find the length of side of square :-
Diagonal of square = side × √2
=> 6 = side × √2
=> side = 6/√2 = 4.24 unit
Now,
Find the perimeter of square :-
Perimeter of Square = 4 × side
= 4 × 4.24 unit
= 16.96 unit
Hence,
Perimeter of Square is 16.96 unit
Answered by
1
Solutions :-
We have,
Length of Diagonal of square = 6 unit
Find the length of side of square :-
Diagonal of square = √2 × side
![= > side \sqrt{2} = 6 \\ \\ = > side = \frac{6}{ \sqrt{2} } \\ \\ \frac{6}{ \sqrt{2} }= \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} = > side \sqrt{2} = 6 \\ \\ = > side = \frac{6}{ \sqrt{2} } \\ \\ \frac{6}{ \sqrt{2} }= \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2}](https://tex.z-dn.net/?f=+%3D++%26gt%3B+side+%5Csqrt%7B2%7D++%3D+6+%5C%5C++%5C%5C++%3D++%26gt%3B+side+%3D++%5Cfrac%7B6%7D%7B+%5Csqrt%7B2%7D+%7D++%5C%5C++%5C%5C+%5Cfrac%7B6%7D%7B+%5Csqrt%7B2%7D+%7D%3D++%5Cfrac%7B6%7D%7B+%5Csqrt%7B2%7D+%7D+%5Ctimes++%5Cfrac%7B+%5Csqrt%7B2%7D+%7D%7B+%5Csqrt%7B2%7D+%7D++%3D++%5Cfrac%7B6+%5Csqrt%7B2%7D+%7D%7B2%7D++%3D+3+%5Csqrt%7B2%7D+)
Now,
Find the perimeter of square :-
Perimeter of Square = 4 × side
![= 4 \times 3 \sqrt{2} \: \: unit\\ \\ = 12 \sqrt{2} \: \: unit = 4 \times 3 \sqrt{2} \: \: unit\\ \\ = 12 \sqrt{2} \: \: unit](https://tex.z-dn.net/?f=+%3D+4+%5Ctimes+3+%5Csqrt%7B2%7D+++%5C%3A++%5C%3A+unit%5C%5C++%5C%5C++%3D+12+%5Csqrt%7B2%7D++%5C%3A+%5C%3A++unit)
Answer : Perimeter of Square = 12√2 unit or 16.97 unit approx.
We have,
Length of Diagonal of square = 6 unit
Find the length of side of square :-
Diagonal of square = √2 × side
Now,
Find the perimeter of square :-
Perimeter of Square = 4 × side
Answer : Perimeter of Square = 12√2 unit or 16.97 unit approx.
Similar questions