Aplot of land is a pentagon with vertices q(-4, 4), r(2, 4), s(4, 1), t(2, -4), and u(-4, -4). each unit of the coordinate grid represents one meter. fencing costs $24.75 per meter. what is the cost of placing a fence around the plot of land?

The measure of QR is 6 units, which is 6 meters, since every unit on the coordinate grid is 1 meter.
The measure of UT is also 6 meters.
The measure of QU is 8 meters.
To find the measure of RS, we use the distance formula:

We substitute the coordinates of R and S into the formula and have:

To find the measure of ST we use the distance formula again, substituting the coordinates for S and T into the formula:

Now we find our perimeter by adding the sides together:  5.39 + 3.61 + 6 + 6 + 8 = 29 meters
Since fencing costs $24.75 per meter, we multiply this by our perimeter:
29(24.75) = $717.75