By finding the scale factor of the model, we will see that the area is 561,600 square feet.
On the model, the length is 13 inches, and the actual length is 780 ft, then the scale factor is:
k = (780ft)/(13 in) = 60 ft/in
This means that each inch in the model is equal to 60ft in the actual plot of land.
Then the width is:
W = (12in)*( 60 ft/in) = 720 ft
And the area is the product between length and width, so we have:
A = (780ft)*(720ft) = 561,600 ft²
Then the correct option is D.
If you want to learn more about area:
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