CHAPTER 10 / ESSENTIAL GEOMETRY SKILLS 385
- 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 - 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
- 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
- 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 - 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