Question

Can someone please help me with this, I'm having trouble

Answer 1

This is another one for my "impossible math question" file. All of the answer choices are wrong. (None applies.)

According to the problem statement, the length you have marked "x" in the diagram is 15 inches. If the side length of one of the pavers is "s", then the Pythagorean theorem tells us
  s² + (2s)² = 15²
  5s² = 225
  s² = 225/5 = 45 . . . . . . the area of one square is 45 in² (not 225 in²)

Then
  s = √45 = 3√5 . . . . . . . the length of one side is not 5√3
so the perimeter is
  p = 4s = 4·3√5 in = 12√5 in ≈ 26.83 in . . . . not 75 inches.

The area of the 6-block L-shaped path is
  total area = 6s² = 6·45 in² = 270 in² . . . . not 450 in²

And the total perimeter is 14 sides, so is
  total perimeter = 14s = 14·3√5 in = 42√5 in . . . . not 60√3 in


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In cases like this where the answer key is incorrect, you might try asking your teacher show the class how to work the problem.