Question

the length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapizoid has a height of 18 feet and an area of 477ft to the 2nd square, fing the length of the longer base

Answer 1

Let the length of one base of trapezoid be x, and the length of other base is 19 less than 5 times the length .

So the other base is

`5x-19`

And the formula of area of trapezoid is

`A = ( (b_(1) + b_(2))/(2)) *h`

`477 = ( (x+5x-19)/(2) )*18`

Dividing both sides by 18,

`26.5= (6x-19)/(2) \\ 53 = 6x-19 \\ 72 = 6x \\ x = 12`

So length of the longer base is

`= 5(12)-19 = 41`