Question

The bases of the trapezoid are 27 feet and 7 feet long. It has a area of 68 square feet. What is the height of the cross section

Answer 1

Answer:

Step-by-step explanation:

A trapezoid area is a rectangle area plus one or two trianagles areas on each end

Area of a trapezoid  =( base 1 x height) + ((1/2)(base 2 - base 1) x height)

solve for height

   factor out the height

Area = height [ base 1 + 1/2(base 2 - base 1)]

  divide both sides by [ base 1 + 1/2(base 2 - base 1)]

Area / [(base 1 + 1/2(base 2 - base 1)] = height

  plug and chug

68 / ( 7 + (1/2)(27 - 7) = height

height = 68 / (7 + (1/2)(20))

           = 68 / 17

           = 4 ft       <--------------   FINAL ANSWER