Question 1135855
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The line parallel to y=2x+5 passing through (4,12) has the equation y = 2x+4.<br>
With the sides of the parallelogram defined by x=0, x=7, y=2x+4, and y=2x+5, the vertices of the parallelogram are A(0,4), B(0,5), C(7,19), and D(7,18).<br>
The edges AB and CD can be considered the bases; then the length of the bases is 1 and the height is 7 (the horizontal distance between AB and CD).<br>
The area of a parallelogram is base times height:<br>
ANSWER: The area of the parallelogram is 1*7 = 7.