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Neporo4naja [7]
3 years ago
15

find the length of the second base of a trapezoid with one base measuring 29ft a height of 9ft and an area of 193.5ft

Mathematics
1 answer:
nata0808 [166]3 years ago
5 0

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=29\\ h=9\\ A=193.5 \end{cases}\implies 193.5=\cfrac{9(29+b)}{2} \\\\\\ 387=9(29+b)\implies \cfrac{387}{9}=29+b\implies 43=29+b\implies 14=b

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