SAT Mc Graw Hill 2011

CHAPTER 10 / ESSENTIAL GEOMETRY SKILLS 391

1. 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


2. 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.

3. 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

4. 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)

5. 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