Trapezoid ABCD has vertices A(-1,0), B(0,2), C(m,4) and D(k,0), with m > 0 and k > 0 . The line y = -x + 4 is perpendicular to the line containing side CD , and the area of trapezoid ABCD is 36 square units. What is the value of k?
+14913 Trapezoid ABCD has vertices A(-1,0), B(0,2), C(m,4) and D(k,0), with m > 0 and k > 0 . The line y = -x + 4 is perpendicular to the line containing side CD , and the area of trapezoid ABCD is 36 square units. What is the value of k?
Hello Guest!
\(m_{ab}=\frac{2-0}{0-(-1)}\)
\(m_{ab}=2\)
\(y_{dc}=2(x-k)+0\\ y_{dc}=2(x-m)+4\\ 2x-2k=2x-2m+4\\2k=2m-4\\ k=m-2\)
to be continued
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