Difference between revisions of "2011 AMC 8 Problems/Problem 20"
m (misspelling of 'trapezoid') |
|||
Line 1: | Line 1: | ||
+ | ==Problem== | ||
Quadrilateral <math>ABCD</math> is a trapezoid, <math>AD = 15</math>, <math>AB = 50</math>, <math>BC = 20</math>, and the altitude is <math>12</math>. What is the area of the trapezoid? | Quadrilateral <math>ABCD</math> is a trapezoid, <math>AD = 15</math>, <math>AB = 50</math>, <math>BC = 20</math>, and the altitude is <math>12</math>. What is the area of the trapezoid? | ||
Revision as of 18:14, 4 November 2012
Problem
Quadrilateral is a trapezoid, , , , and the altitude is . What is the area of the trapezoid?
Solution
If you draw altitudes from and to the trapezoid will be divided into two right triangles and a rectangle. You can find the values of and with the Pythagorean theorem.
is a rectangle so
The area of the trapezoid is
See Also
2011 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |