Q:

Find the length of the second base of a trapezoid with one base measuring 29ft, a height of 9ft, and an area of 193.5 ft square

Accepted Solution

A:
By definition, the area of the trapezoid is given by:
 A = (1/2) * (B + b) * (h)
 Where,
 B: base number 1
 b: base number 2
 h: height
 Clearing b we have:
 b = (2 / h) * (A) - B
 Substituting values:
 b = (2/9) * (193.5) - 29
 b = 14 feet
 Answer:
 the length of the second base is:
 b = 14 feet