CHAPTER 10 / ESSENTIAL GEOMETRY SKILLS 391
- The ratio of the areas of two squares is 4:1. If
the perimeter of the smaller square is 20, what
is the perimeter of the larger square?
(A) 5
(B) 10
(C) 20
(D) 40
(E) 80 - A scale drawing of a rectangular patio mea-
sures 5 centimeters by 7 centimeters. If the
longer side of the actual patio is 21 feet, what
is the area, in square feet, of the actual patio?
(A) 72
(B) 315
(C) 356
(D) 441
(E) 617
Note:Figure not drawn to scale.
- In the figure above, Cand Dare the centers of
the two circles with radii of 3 and 2, respec-
tively. If the larger shaded region has an area
of 9, what is the area of the smaller shaded
region?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
a° a°
3
2
C D
- In the figure above, 1 ⎥⎥ 2. If EF=x,and
EG=y,then which of the following represents
the ratio of CDto BC?
(A)
(B)
(C)
(D)
(E)
- A circular cone with a base of radius 5 has
been cut as shown in the figure above. What is
the height of the smaller cone?
(A)
(B)
(C)
(D)
(E)
104
5
96
5
96
12
96
13
8
13
8
5
5
1 +
x
y
1 −
x
y
y
x
− 1
1 +
y
x
1 −
y
x
BC D
EF G
A
1
2
SAT Practice 6: Similar Figures