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The diagonal of a square is 8 cm. Its area is
  • a)
    4 cm2
  • b)
    16 cm2
  • c)
    24 cm2
  • d)
    32 cm2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The diagonal of a square is 8 cm. Its area isa)4 cm2b)16 cm2c)24 cm2d)...
We know by the Pythagorean theorem that a^2+b^2=c^2 We also know that the diagonal of a square is the hypotenuse of an isosceles triangle. Using this information we compute the side-length of the square:
a^2+a^2=8^2a^2+a^2=82
⇒^2a^2=64⇒^2a^2=64
⇒a^2=32⇒a^2=32
⇒a=32−−√⇒a=32
⇒a=42–√⇒a=42
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The diagonal of a square is 8 cm. Its area isa)4 cm2b)16 cm2c)24 cm2d)32 cm2Correct answer is option 'D'. Can you explain this answer?
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