Problem Set

1. 1. O is the center of the circle.
      Quantity A	Quantity B
      x	90

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   2. ABCD is a rectangle. R is the midpoint of AD.
      Quantity A	Quantity B
      The area of Triangle APD	Twice the area of Triangle AQR

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   3. The circumference of Circle A is twice the circumference of Circle B.

      Quantity A	Quantity B
      The area of Circle A	Twice the area of Circle B

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   4. 1,600 feet of fencing is used to enclose a square plot.

      Quantity A	Quantity B
      The plot’s new area if the length were reduced by 4 feet and the width increased by 4 feet	The plot’s new area if the length were equal to 398 feet and the width were equal to 402 feet

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   5. Quantity A	Quantity B
      The third side of an isosceles triangle with sides of 3 and 9	The third side of an isosceles triangle with sides of 6 and 8

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   6. O is the center of the circle. The area of the circle is 16π. The area of the shaded region < 4π.
      Quantity A	Quantity B
      x	90

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   7. A circle with radius has the same area as a particular square.

      Quantity A	Quantity B
      9ᴨ	The area of the square if each side were increased by 1

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   8. Quantity A	Quantity B
      y − x	50

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   9. Rectangle A has twice the area of Rectangle B. The width of Rectangle A is less than 1/2 the width of Rectangle B.

      Quantity A	Quantity B
      The area of Rectangle A	The area of Rectangle B if its width is increased by more than 2

   10. ---

   10. l1 and l2 are parallel lines, and none of the lines in the figure are vertical.
       Quantity A	Quantity B
       The slope of line l1 minus the slope of line l3	The slope of line l2 minus the slope of line l3