Question
Download Solution PDFWhat is the area of the region bounded by the lines y = x, y = 0 and x = 4?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Area of triangle = \(\rm \frac{1}{2}\times base \times height\)
Calculations:
Given lines are y = x, y = 0 and x = 4
To find the area of region bounded by line y = x, y = 0 and x = 4, fist draw a graph of the lines.
First find the point of intersection.
when y = 0 , x = 0
when x = 4, y = 4
So, point of intersection is (0, 0), and (4, 4).
By these lines y = x, y = 0 and x = 4, we get bounded region as triangle.
Area of triangle = \(\rm \frac{1}{2}\times base \times height\)
⇒Area of triangle = \(\rm \frac{1}{2}\times 4 \times 4\)
⇒Area of triangle = 8 units
Hence,the area of the region bounded by the lines y = x, y = 0 and x = 4 is 8 units
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