Question

6. The length of one base of a trapezoid is 19 less
than five times the length of the other base. If
the trapezoid has a height of 18 feet and an area
of 477 ft?, find the length of the longer base.

Answer 1

Answer:

b1 = 41

Step-by-step explanation:

Area = (b1 + b2)*h/2

b1 = 5*b2 - 19

b2 = b2

h = 18

Area = 477

(5*b2 - 19 + b2) *h/2 = 477

(6b2 - 19)*18/2 = 477

(6b2 - 19)*9 = 477

(6b2 - 19) * 9/9 = 477/9

(6b2 - 19) = 53

6b2 - 19 + 19 = 53 + 19

6b2 = 72

b2 = 12

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b1 = 5*b2 - 19

b1 = 60 - 19

b1 = 41