The length of one base if a traoezoid is 19 less than five times the length of the other base. If the trapezoid has a height if 18 feet and an area of 477 feet squared, find the length of the longer base.
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Answer:
The length of longer base = 61.5
Step-by-step explanation:
base1 = b1 = 19 - 5b2
base2 = b2
area of trapezoid = 1/2 × h × ( b1 + b2)
477 = 1/2 × 18 × ( 19-5b2 + b2)
477 = 9 × ( 19-5b2 + b2)
477/9 = 19 - 5b2 + b2
53 = 19 - 5b2 + b2
53 - 19 = -4b2
34 = -4b2
-b2 = 34/4
b2 = - 8.5
b1 = 19 - 5b2
b1 = 19 - 5× (-8.5)
b1 = 19 - ( -42.5 )
b1 = 19 + 42.5
b1 = 61.5
therefore the length of longer base i.e b1 = 61.5
hope it helps you :)
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