Question

Apply the techniques of using the coordinates to find the length and the width of the polygon. Use the length and the width to find the perimeter of the polygon in miles. Rectangle ABCD has vertices point A (1,−3) , point B (5, −3) , point C (5, −1) , and point D (1, −1) .(1 point)
Responses

8 square miles
8 square miles

12 miles
12 miles

12 square miles
12 square miles

−12 miles

Answer 1

To find the length of the rectangle, we look at the difference in the x-coordinates of two opposite vertices.

Length = x-coordinate of Point B - x-coordinate of Point A
Length = 5 - 1
Length = 4 miles

To find the width of the rectangle, we look at the difference in the y-coordinates of two opposite vertices.

Width = y-coordinate of Point C - y-coordinate of Point A
Width = -1 - (-3)
Width = 2 miles

Now, we can find the perimeter of the rectangle by adding up all the sides.

Perimeter = 2(Length + Width)
Perimeter = 2(4 + 2)
Perimeter = 2(6)
Perimeter = 12 miles

Therefore, the perimeter of the polygon is 12 miles.