Mathematics, 03.07.2019 18:50 belindajolete
Atrapezoid has an area of 20 cm2 and a height z cm. the lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. find the height, z, of the trapezoid. in your final answer, include all of the formulas and calculations necessary.
Answers: 1
![\bf A=\cfrac{h(a+b)}{2}\quad \begin{cases} A=20\\ a=6z-1\\ b=2z+3\\ h=z \end{cases}\implies 20=\cfrac{z[(6z-1)~+~(2z+3)]}{2} \\\\\\ 20=\cfrac{z(8z+2)}{2}\implies 20=\cfrac{2z(4z+1)}{2}\implies 20=z(4z+1) \\\\\\ 20=4z^2+z\implies 0=4z^2+z-20](/tpl/images/0047/3805/5ab37.png)
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Atrapezoid has an area of 20 cm2 and a height z cm. the lengths of the parallel sides are (2z + 3) c...
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