school
Acemy

Lines, Angles, and Triangles

SAT Math· difficulty 4/5

An isosceles trapezoid has parallel sides 66 and 1414 and legs of length 55. What is its area?

  • A

    8080

  • B

    3030

    check_circle
  • C

    6060

  • D

    5050

Explanation

Drop perpendiculars from the shorter base: each leg forms a right triangle with horizontal leg 14−62=4\frac{14-6}{2}=4 and hypotenuse 55, giving height 25−16=3\sqrt{25-16}=3. Area =12(6+14)(3)=30=\frac{1}{2}(6+14)(3)=30.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode