Posted by **Beatrice** on Wednesday, January 4, 2012 at 3:30pm.

The area of a trapezoid is 66 sq units. The length of its longer base is 4 units longer than the length of its shorter base, and its height is 7 units longer than the length of its shorter base. Find the length of each base and the height of the trapezoid.

- Math -
**Steve**, Wednesday, January 4, 2012 at 4:26pm
you know that with bases b and c, and height h, a trapezoid has area

a = h * (b+c)/2

Just plug in your numbers, letting x be the length of the short base:

a = (x+7) * (x + x+4)/2

66 = (x+7)(x+2)

x^2 + 9x - 52 = 0

(x+13)(x-4) = 0

x = 4

short base = 4

long base = 8

height = 11

area = 11(8+4)/2 = 11*6 = 66

## Answer This Question

## Related Questions

- math - In the trapezoid above, base R is 16 units and base S is 24 units. The ...
- Geometry - I have four questions: 1. The area of trapezoid ABCD is 60. One base ...
- algebra, - This isosceles triangle has two sides of equal length, a, that are ...
- alegbra - This isosceles triangle has two sides of equal length, a, that are ...
- algebra 2 - A landscaper is designing a flower garden in the shape of a ...
- basic geometric - 10. a rectangle has width the same as a side of a square whose...
- Algebra - One base of trapezoid AGIE is four less than three times the other ...
- Geometry - THe area of a trapezoid is 80 units. If its height is 8 units, find ...
- Geometry - The area of a trapezoid is 80 square units. If its height is 8 units...
- Math - Rose's garden is in the shape of a trapezoid. If the height of the ...

More Related Questions