Posted by **eav** on Friday, November 16, 2012 at 6:18am.

find the area of the largest rectangle having one side on the x axis and inscribed in the triangle formed by the lines y=x, y=0, and 3x + y = 20

- calculus -
**Steve**, Friday, November 16, 2012 at 10:42am
if the height of the rectangle is y, the base of the rectangle is (20-y)/3 - y.

So, the area is y((20-y)/3 - y) = 4/3 (5y-y^2)

max area where 5-2y = 0, or y = 5/2.

So, the largest rectangle has area 50/3

## Answer This Question

## Related Questions

- Calculus - Find the area of the largest rectangle having one side on the x-axis ...
- Calculus - Hello, could someone please help me with this problem? I'm a little ...
- calculus - A rectangle is inscribed in an isosceles triangle. If the sides of ...
- Precalculus - The sides of an isosceles triangle are 10 cm, 10 cm, and 12 cm. A ...
- calculus - A rectangle with its base on the x-axis is to be inscribed under the ...
- Calculus AB - A rectangle is inscribed in a right triangle with legs of length 5...
- calculus - A rectangle with its base on the x-axis is to be inscribed under the ...
- calculus - Find the dimensions of the rectangle with the largest area that is ...
- calculus - A rectangle is to be inscribed in a right triangle having sides of ...
- Calculus - Find the rectangle of largest area that can be inscribed in a ...

More Related Questions