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

1 answer:

8 0

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

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