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SSSSS [86.1K]
3 years ago
9

the figure above is made up of a square and an isosceles right triangle. if EC=22, find the perimeter of BAFEC

Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

Perimeter: 119.11 units length

Step-by-step explanation:

Assuming that EC is the length of one side of the square and one of the legs (l) of the isosceles right triangle, then the hypotenuse (h) of the right triangle is:

h² = 2*l²

h = √(2*22²)

h = 22√2 units length

The perimeter of the figure is the addition of 3 sides of the square, one leg of the triangle and the hypotenuse of the triangle, that is: 4*22 + 22√2 = 22*(4 + √2) ≈ 119.11 units length

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