find the perimeter of the given question
Attachments:
Answers
Answered by
1
Answer:
mark as brainlist first
Step-by-step explanation:
Let side ofasquare=aunits
Diagonal(d)=12√2units/*given
Now ,
\boxed {Area \: of \the \: square (A)\\=a^{2}=\frac{d^{2}}{2}}
a^{2} = \frac{(12\sqrt{2})^{2}}{2}
\implies a^{2}=\frac{12^{2}\times 2}{2}
\implies a^2 = (12\:unit)^{2}
\implies a = \sqrt{12^{2}}
\implies a = 12\: units
Perimeter \: of \: the \: square (P) = 4r\\=4 \times 12 \:units
\implies P = 48 \: units
Therefore,
Perimeterofthesquare(P)=48units
Answer verified by
Answered by
7
GIVEN
Diagonal of square = 12√2
TO FIND
Perimeter
FORMULAE USED
Diagonal of square = side√2
Perimeter of square = 4 × side
SOLUTION
side√2 = Diagonal of square
side√2 = 12√2
√2 cancel out
side = 12
Perimeter = 4 × side
Perimeter = 4 × 12
Perimeter = 48
★ So, the perimeter of square is 48 cm².
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Similar questions