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Ilia_Sergeevich [38]
2 years ago
4

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
Mathematics
1 answer:
enot [183]2 years ago
7 0

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 = ( \frac{b_{1} + b_{2}}{2}) *h

477 = ( \frac{x+5x-19}{2} )*18

Dividing both sides by 18,

26.5= \frac{6x-19}{2}
\\
53 = 6x-19
\\
72 = 6x
\\
x = 12

So length of the longer base is

= 5(12)-19 = 41

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