The length of longer base is 41 feet
Solution:
The area of trapezoid is given as:
[tex]A = \frac{a+b}{2} \times h[/tex]
Where , "a" and "b" is the length of base and "h" is the height
The length of one base of a trapezoid is 19 less than five times the length of the other base
a = 19 less than fives times b
a = 5b - 19
Height of 18 feet and an area of 477 ft squared
h = 18 feet
area = 477 square feet
Substitute the values in above formula
[tex]477=\frac{5 b-19+b}{2} \times 18\\\\477=(6b-19) \times 9\\\\477 = 54b-171\\\\54b = 648\\\\b=12[/tex]
Therefore,
a = 5b - 19 = 5(12) - 19 = 41
Thus length of longer base is 41 feet
