Question

Which of the following dimensions form a trapezoid with an area of 4 1/8 square units?

Answer 1

The area of a trapezoid is  (¹/₂) (height) (base-1 + base-2)

A). Area = (¹/₂) (1¹/₂) (6 + 3¹/₂) = (¹/₂) (³/₂) (¹⁹/₂) = ⁵⁷/₈ = 7¹/₈

B). Area = (¹/₂) (1¹/₂) (2 + 3¹/₂) = (¹/₂) (³/₂) (¹¹/₂) = ³³/₈ = 4¹/₈  <===

C). Area = (¹/₂) (3) (2 + 3¹/₂) = (¹/₂) (⁶/₂) (¹¹/₂) = ⁶⁶/₈ = 8¹/₄

D). Area = (¹/₂) (1¹/₂) (2 + 7) = (¹/₂) (³/₂) (¹⁸/₂) = ⁵⁴/₈ = 6³/₄