Question

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

Answer 1

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