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Farmland A farmer has a rectangular plot of land shaped like the figure in the graph. There is another identical plot of land 100 yards east and 120 yards north of the original plot. Graph both plots of land. Then find the combined area of the two plots of land

Farmland A farmer has a rectangular plot of land shaped like the figure in the graph There is another identical plot of land 100 yards east and 120 yards north class=

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The graph of both plots would be the one graph in option C.

Combined area = 2(area of one rectangular plot) = 720 sq. yds.

What is the Area of a Rectangular Shape?

Area of a rectangular shape = length × width

From the graph given, 1 unit represents 20 yards. Therefore:

  • 100 yards east of the original plot is going to be 5 units to the left on the x-axis.
  • 120 yards north of the original plot would be 6 units upwards on the y-axis.

Therefore, the graph of both plots would be the one given in option C.

The plot is rectangular in shape having 60 yards × 60 yards. Therefore:

Area of 1 plot = length × width = 60 × 60 = 360 square yards.

Combined area = 2(area of one rectangular plot) = 2(360) = 720 sq. yds.

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