Chapter 11.6B, Problem 1GCE

To determine

To find the area of the region between the graph of $y=\frac{1}{2}$ , the x-axis, and the vertical lines $x=2$ and $x=4$

Answer to Problem 1GCE

  $1\text{ square unit}$

Explanation of Solution

Given:

Use $x=2$ as the lower boundary and $x=4$ as the upper boundary.

Calculation:

The following is the shaded region bounded by the lines-

It is visible from the graph the graph that the shape bounded by the given lines is rectangle-

So its area is-

  $\begin{array}{l}l\times b\\ =(4-2)\times (0.5-0)\\ =2\times 0.5\\ =1\text{ square unit}\end{array}$