Posted by **jay** on Tuesday, August 30, 2011 at 5:13pm.

The height of triangle ACE is 12 and base AE=20. A rectangle is inscribed in triangle ACE as shown in the diagram

a) express the rectangle's area as a function of x and y

b)Use the fact that triangle ACE is similar to BCD to write y as a function of x.

c)express the rectangle's area as a function of x only.

Find the maximum possible area of the rectangle.

## Answer this Question

## Related Questions

- Precalculus - The sides of an isosceles triangle are 10 cm, 10 cm, and 12 cm. A ...
- calculus - A rectangle is inscribed in an isosceles triangle. If the sides of ...
- calculus - A rectangle is to be inscribed in a right triangle having sides of ...
- honors geometry - Find the area of the shaded region. diagram is a rectangle ...
- PRE-CAL - A rectangle is inscribed in a right triangle with legs of length 3 and...
- alg 2 - a rectangle is to be inscribed in a isosceles triangle of height 8 and ...
- alg 2 - a rectangle is to be inscribed in a isosceles triangle of height 8 and ...
- alg 2 - a rectangle is to be inscribed in a isosceles triangle of height 8 and ...
- geometry - The perimeter of the rectangle is 19 inches. The perimeter of the ...
- Math - An isosceles triangle and a rectangle share a base. The area of the ...