**Mathematics Test V Solution - Page 109**

19. If the area of the rectangle ABCD shown below is 36 square units, how many square units is the area of the shaded region?

A

_{rectangle}= bh

A

_{rectangle}= 36

bh = 36

A

_{triangle}= 1/2 bh

= 1/2 (36)

**= 18 sq. units * Ans.**

20. This tank holds 48 liters of gasoline and the car averages 5 kilometers per liter. Approximately how many kilometers can a car travel this given guage?

The guage indicates that the tank is 1/4 full.

Let N - be the number of kilometers that can be traveled.

N = ( ~~tank~~) x

__1____48__~~liters~~ x__5 km__
4 ~~ tank ~~ ~~ liter ~~

= 1/4 x 48 x 5 km

**= 60 km. * Ans**

21. Which of the following graphs represents the taxi rates for a company that charges $ 3.50 for the first 200 meters and $ 1.00 for each additional 100 meters?

This is the approximate graph for the taxi rate, there is an abrupt change in the fare for every 100 meters change in the distance.

*** Ans.**

22. A laboratory assistant was preparing a solution that should have included 40 milligrams of chemical. If he actually used 41.30 milligrams, what was his percentage error (to the nearest 0.01 %)?

% error =

__error__x 100%

correct value

=

__41.30 - 40__x 100%

40

=

__1.3__%

40

=

__130__%

40

**= 3.25 % * Ans**

Civil Service Reviewer Post 109/159