MATH SOLVE

5 months ago

Q:
# 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

Accepted Solution

A:

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

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