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31 votes
31 votes
The length of the diagonal of a square is 15 square root of 2 what is the perimeter

User Vaugham
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1 Answer

13 votes
13 votes

Solution:

Given:

  • Diagonal of square: 15√2
  • Perimeter of square: 4s

Solving using Pythagoras theorem~

  • (15√2)² = s² + s²
  • => 225 x 2 = 2s²
  • => 225 = s²
  • => s = 15 units

Now, solve for perimeter by substituting into the term '4s'.

  • 4(15)
  • => 60 units

Hence, the perimeter of the square is 60 units.

User Wachburn
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2.9k points