Question : If the perimeter of a square is $44\;\mathrm{cm}$, what is the diagonal (in $\mathrm{cm}$) of the square?
Option 1: $11\sqrt{2}$
Option 2: $2\sqrt{11}$
Option 3: $11$
Option 4: $44\sqrt{2}$

Question

Question : If the perimeter of a square is $44\;\mathrm{cm}$, what is the diagonal (in $\mathrm{cm}$) of the square?

Option 1: $11\sqrt{2}$

Option 2: $2\sqrt{11}$

Option 3: $11$

Option 4: $44\sqrt{2}$

Team Careers360 · Accepted Answer

Correct Answer: $11\sqrt{2}$

Solution : Let the side length of a square be $ ext{s}\;\mathrm{cm}$.
The perimeter of the square $=4 imes ext{s}$
Given that the perimeter is $44\;\mathrm{cm}$.
The side length of the square $=\frac{44}{4} = 11\;\mathrm{cm}$
The diagonal of a square $=\sqrt{2} imes ext{s }$
The length of the diagonal of this square $=\sqrt{2} imes 11 = 11\sqrt{2}\;\mathrm{cm}$
Hence, the correct answer is $11\sqrt{2}$.

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Question : If the perimeter of a square is 44cm, what is the diagonal (in cm) of the square?Option 1: 112Option 2: 211Option 3: 11Option 4: 442

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Question : If the perimeter of a square is $44 cm$ , what is the diagonal (in $cm$ ) of the square?
Option 1: $11 \sqrt{2}$
Option 2: $2 \sqrt{11}$
Option 3: $11$
Option 4: $44 \sqrt{2}$