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SAT Math
1.  A square and an equilateral triangle have equal perimeters. If the triangle has sides of length 20, what is the area of the square?
A) 270
B) 225
C) 360
D) 315
E) 405
2.  The perimeter of circle C is 7 times the perimeter of circle D. What is the ratio of the diameter of circle D to the diameter of circle C?
A)
1
8
 
B)
1
10
 
C)
1
7
 
D)
1
9
 
E)
1
49
 
3.  
In the above figure, three rectangles are drawn along the three sides of the triangle ABC, each with a width 3. If the total area of the three rectangles is 81, what is the perimeter of the triangle ABC? (Note that the figure is not drawn to scale).
A) 25
B) 23
C) 27
D) 26
E) 30
4.  If a rectangle and a square have the same perimeter of 28, and the area of the square is 1 more than the area of the rectangle, what is the length of the diagonal of the rectangle?
5.  
If the figure above, ABCD and DEFG are squares, H is the midpoint of DG, and AH = EH. If AD = 3, what is the length of EF? (Note that the figure is not drawn to scale)
A)
5
4
 (
√3
  + 1)
B)
3
2
 (
√5
  + 1)
C)
3
2
 
D)
5
4
 (
√5
  + 1)
E)
3
2
 (
√3
  + 1)



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