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riadik2000 [5.3K]
3 years ago
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 squared, find the length of the longer base.
Mathematics
1 answer:
love history [14]3 years ago
5 0
Area of a trapezoid: [(top +bottom)*height]/2
suppose the length of one base is x, then the other base is 5x-19
[(x+5x-19)*18]/2=477
[6x-19]*18=954
6x-19=53
6x=72
x=12
The longer base is 5*12-19=41


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Hi there!  

»»————- ★ ————-««

I believe your answer is:  

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»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

f(x)=\frac{1}{4}(x-8)\\-----------\\\rightarrow f(24)= \frac{1}{4}(24-8)\\\\\rightarrow f(24) = \frac{1}{4}( 16)\\\\\rightarrow\boxed{f(24)=4}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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