# Let R be the region in the first quadrant bounded by the graphs of #(x^2/ 9) + (y^2 /81)=1# and #3x+y=9#, how do you find the area?

##### 1 Answer

Mar 9, 2016

#### Explanation:

The ellipse and the straight line intersect at B(3, 0) and A(9, 0)

The semi-axes of the ellipse are 9 and 3. Its area is

The area of the

The area bounded by the line and the ellipse in the first quadrant

= area of the ellipse in the quadrant

=