geometry · worked example

Solve trapezoid with bases 5 and 8, height 4

Method: trapezoid area formula. Verified step-by-step solution with our free AI math solver.
Problem

A=12(b1+b2)h, b1=5, b2=8, h=4A = \tfrac{1}{2}(b_1 + b_2) h,\ b_1=5,\ b_2=8,\ h=4

Step-by-step solution

  1. Trapezoid area: A=12(b1+b2)hA = \tfrac{1}{2}(b_1 + b_2) h.

  2. Substitute b1=5b_1 = 5, b2=8b_2 = 8, h=4h = 4: A=12(5+8)(4)=12(13)(4)A = \tfrac{1}{2}(5 + 8)(4) = \tfrac{1}{2}(13)(4).

  3. Simplify: A=26A = 26.

Answer

A=26A = 26

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