Question

Busby County is rectangular. A map of the county on a coordinate plane shows the vertices of the county

at A(-4, 6), B (6,6), C (6,-9), and Di-4,-9). Each unit on the map represents 1 mile.
What is the county's perimeter?

Answer 1

The county's perimeter is of 50 miles.

Explanation:

Perimeter of a rectangle:

The perimeter of a rectangle, with length l and width w, is given by:

`P = 2(l + w)`

Length:

Segments AB and CD.

The length is 6 - (-4) = 6 + 4 = 10 units = 10 miles.

Width:

Segments BC and AD.

The length is 6 - (-9) = 6 + 9 = 15 units = 15 miles.

Perimeter:

`P = 2(10 + 15) = 2(25) = 50`

The county's perimeter is of 50 miles.