Question
Download Solution PDFWhat is the area of the region bounded by |x| < 5, y = 0 and y = 8?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
|x| < a ⇒ - a < x < a
Equation of x-axis is given by: y = 0
If y = a ≠ 0 and a > 0 , then y = a represents the equation of line parallel to x-axis and lying above the x-axis.
If y = a ≠ 0 and a < 0, then y = a represents the equation of line parallel to x-axis and lying below the x-axis.
Calculation:
Given: |x| < 5, y = 0 and y = 8
By plotting the above equations and in equation on the co-ordinate plane as shown in the figure below:
The shaded portion represents the region bounded by the given equations and in equation.
As we can see that the bounded region is a rectangle with length l = 10 units and breadth b = 8 units.
⇒ The area of the bounded region = l × b = 10 × 8 = 80 sq. units
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