SAT Mc Graw Hill 2011

CHAPTER 10 / ESSENTIAL GEOMETRY SKILLS 385

1. In the figure above, a circle is inscribed in a
   square and intersects the square at points A, B,
   C,and D.If AC=12, what is the total area of
   the shaded regions?
   (A) 18
   (B) 36
   (C) 18π
   (D) 24π
   (E) 72


2. In the figure above, ABCDis a rectangle and P
   and Rare midpoints of their respective sides.
   What is the area of ∆APR?
   (A) 54
   (B) 68
   (C) 72
   (D) 78
   (E) 96

AB

D C

R

P

24

8

A

B

C

D

3. A fence encloses three sides of a rectangular
   garden that is bordered on the other side by a
   barn, as shown in the figure above. If the total
   length of the fence is 44 meters and pis the
   length, in meters, of the fence parallel to the
   barn wall, then which of the following expresses
   the area of the garden?
   (A) 22p−p^2

(B)

(C) 22p

(D)

(E) 44p−p^2

4. What is the maximum number of pieces that
   can be cut from a paper circle with four
   straight cuts if none of the pieces are moved or
   folded between cuts?
   (A) 7
   (B) 8
   (C) 9
   (D) 10
   (E) 11


5. In the figure above, all angles shown are right
   angles. What is the perimeter of the shaded re-
   gion?
   (A) 51
   (B) 54
   (C) 57
   (D) 60
   (E) 63

3

10

20

22

2

pp−^2

44

2

pp−^2

barn

garden

p

SAT Practice 5: Areas and Perimeters