Algebra 1 Companion Book, Vol 1 – Summer Edition

2.2.2 Applications of Proportion – Worksheet

Example 1:

Find the value of x in each diagram. 1. △ ABC ~ △ DEF

2. RSTV ~ WXYZ

A

D

R

8 ft

W X 5 ft

5 m 7 m

x ft

4 m

x m

V

4 ft

S

E

Y

C

B

Z

F

T

Example 2:

3. Roger is 5 feet tall and casts a shadow 3.5 feet long. At the same time, the flagpole outside his school casts a shadow 14 feet long. Write and solve a proportion to find the height of the flagpole.

Example 3:

4. A r ectangle has length 12 feet and width 8 feet. Every dimension of the rectangle is multiplied by 3/4 to form a similar rectangle. How is the ratio of the areas related to the ratio of corresponding sides?

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