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2018 AMC 10A Problem 23

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2018 AMC 10A Problem 23AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangles: Area & Pythagorean · difficulty 4 of 5 · about 5 min · position P21-25

Farmer Pythagoras has a field in the shape of a right triangle. The right triangle's legs have lengths 33 and 44 units. In the corner where those sides meet at a right angle, he leaves a small unplanted square SS so that from the air it looks like the right angle symbol. The rest of the field is planted. The shortest distance from SS to the hypotenuse is 22 units. What fraction of the field is planted?

figure

  1. A)

    2527\frac{25}{27}

  2. B)

    2627\frac{26}{27}

  3. C)

    7375\frac{73}{75}

  4. D)

    145147\frac{145}{147}

  5. E)

    7475\frac{74}{75}

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