10. The length of the diagonal of a square is 50 cm, find the perimeter of the square.
Answers
Step-by-step explanation:
Given :-
The length of the diagonal of a square is 50 cm.
To find :-
The perimeter of the square.
Solution :-
Given that
The length of the diagonal of a square
d = 50 cm
We know that
The length of the diagonal of a square whose side is 'a' units is '√2 a' units
Therefore, √2 a = 50
=> a = 50/√2
On multiplying both numerator and denominator with √2 then
=> a = 50√2/(√2×√2)
=> a = 50√2/2
=> a = 25√2 cm
Therefore,
The side of the square = 25√2 cm
We know that
Perimeter of a square whose side is 'a' units is '4a' units
Perimeter of the given square
= 4×25√2 cm
= 100√2 cm
or 100×1.414 = 141.4 cm
Answer :-
The perimeter of the given square is 100√2 cm or 141.4 cm
Used formulae:-
→ The length of the diagonal of a square whose side is 'a' units is √2 a units
→ Perimeter of a square whose side is a units is 4a units
→ √2 = 1.414
Step-by-step explanation:
Step-by-step explanation:
Given :-
The length of the diagonal of a square is 50 cm.
To find :-
The perimeter of the square.
Solution :-
Given that
The length of the diagonal of a square
d = 50 cm
We know that
The length of the diagonal of a square whose side is 'a' units is '√2 a' units
Therefore, √2 a = 50
=> a = 50/√2
On multiplying both numerator and denominator with √2 then
=> a = 50√2/(√2×√2)
=> a = 50√2/2
=> a = 25√2 cm
Therefore,
The side of the square = 25√2 cm
We know that
Perimeter of a square whose side is 'a' units is '4a' units
Perimeter of the given square
= 4×25√2 cm
= 100√2 cm
or 100×1.414 = 141.4 cm
Answer :-
The perimeter of the given square is 100√2 cm or 141.4 cm
Used formulae:-
→ The length of the diagonal of a square whose side is 'a' units is √2 a units
→ Perimeter of a square whose side is a units is 4a units
→ √2 = 1.414