Chapter 4.4, Problem 19PSB

a)

To determine

To Calculate: Distance travelled from P to E along different paths .

Answer to Problem 19PSB

19, 13

Explanation of Solution

Given information: Coordinates of P, R and E.

Formula used: graph

Calculation: From the graph, coordinates of T and C are T (2, 7), C (12, 7) as sides of rectangle are parallel to the axes.

  $\begin{array}{l}\text{Distance travelled along first path}=PT+TR+RE\\ =3+6+10=19\text{units}\\ \text{Distance travelled along Second path}=PC+CE\\ =7+6=13\text{units}\end{array}$

b)

To determine

To Calculate: After rotation, new position of P.

Answer to Problem 19PSB

(8,-3)

Explanation of Solution

Given information: coordinates of P, R and E.

Formula used: graph

Calculation: After rotation of rectangle ${90}^{\circ }$ clockwise about R, new position of graph is shown in the figure.