Engineering Board Exam Reviewer · Quadrilaterals · hard

An isosceles trapezoid has bases 10 and 24 and legs of length 13. Find its area.

  1. 221
  2. 186.23
  3. 170
  4. 204.5

Answer

B. 186.23

Solution

Each overhang is 24-10/2=7, so the height is sqrt(132-72)=sqrt(120)=10.95. A= 12(10+24)(10.95)=186.22.

More Quadrilaterals questions

  1. A rectangle has a perimeter of 34 and a diagonal of 13. Find its area.
  2. A rhombus has an area of 96 and one diagonal of 12. Find its perimeter.
  3. Two adjacent sides of a parallelogram are 8 and 12, and the angle between them is 30°. Find its area.
  4. Find the area of a trapezoid with parallel sides 8 and 14 and a height of 6.
  5. The diagonals of a rhombus are 10 and 24. Find the length of its side.
  6. Find the diagonal of a square whose side is 10.
  7. Find the area of a rectangle that is 12 units long and 7 units wide.
  8. Find the area of a trapezoid with parallel sides 8 cm and 14 cm and height 6 cm.
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