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3 years ago

22. Find the perimeter of the square: 28

Mathematics

1 answer:

sergejj [24]3 years ago

7 0

Answer:

56√2 ≈ 79.20

Step-by-step explanation:

The hypotenuse of an isosceles right triangle is √2 times the side length, so the side length here is ...

s·√2 = 28

s = 28/√2

The perimeter is 4 times the side length, so is ...

P = 4s = 4·28/√2

= 4·28·(√2)/2 . . . . . multiply by (√2)/(√2) to rationalize the denominator

= 56√2 ≈ 79.195959

The perimeter of the square is 56√2, about 79.20 units.

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