A rectangular plot of land is represented on a map by the vertices (10,10) , (10,90) , (70.5, 90) , (70.5, 10), where the x and
y coordinates are measured in yards. What us the area of the plot of land? A 1560 yards squared B 4840 yards squared C 5445 yards squared D 6345 yards squared
For this case we have that the area of the rectangle is given by: A = (w) * (l) Where, w: width l: long We use the distance formula between two points: d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2) We look for the simulations: Width: w = root ((10-10) ^ 2 + (90-10) ^ 2) w = 80 Long: L = root ((10-10) ^ 2 + (10-70.5) ^ 2) L = 60.5 Substituting we have: A = (80) * (60.5) A = 4840 yd ^ 2 Answer: The area of the plot of land is: B 4840 yards squared
X would have to equal 6. To work it out, you subtract 4 from each side to cancel out the 4. -x = -6. You have to make -x just x so you × each side by -1. You get x = 6.