The length of the second base of a trapezoid is 14 feet.
Given that
The trapezoid has one base measuring 29ft, a height of 9ft, and an area of 193.5 ft square.
We have to determine
The length of the second base of a trapezoid.
According to the question
The trapezoid has one base measuring 29ft, a height of 9ft, and an area of 193.5 ft square.
What is the area of the trapezoid?
The area of the trapezoid is calculated by multiplying the mean of the bases by the height of the trapezoid.
The formula of area of the trapezoid is given by;
[tex]\rm Area = \dfrac{1}{2} \times (Base \ 1 + Base \ 2) \times Height\\
\\
[/tex]
Substitute all the values in the formula;
[tex]\rm Area = \dfrac{1}{2} \times (Base \ 1 + Base \ 2) \times Height\\
\\
193.5 = \dfrac{1}{2} \times (29+ Base \ 2) \times 9\\
\\
193.5 \times 2 = (29+ Base \ 2) \times 9\\
\\ 387 = (29+ Base \ 2) \times 9\\
\\ (29+ Base \ 2) = \dfrac{387}{9}\\
\\ 29+ Base \ 2 = 43\\
\\ Base \ 2 = 43-29\\
\\ Base 2 = 14[/tex]
Hence, The length of the second base of a trapezoid is 14 feet.
To know more about Trapezoid click the link given below.
https://brainly.com/question/4520818
