Question

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.

Answer 1

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 :)