Question

a region in the coordinate plane is bounded by y=x, x=5 and y=1. what is the area of this regionI can upload a picture

Answer 1

10 square units

Step-by-step explanation:

From the graph, the bounded region is a right triangle.

Base of triangle, b = 5 - 1 = 4

Altitude of triangle, h = 5 - 0 = 5

Find the area of the triangle using the formula

`A=(1)/(2)bh`

Substitute the values into the formula.

`\begin{gathered} A=(1)/(2)\cdot4\cdot5 \\ =10 \end{gathered}`

The area of the bounded region is 10 square units.