Question

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle : A(2, -6), B(5, -6), C(5, -2), and D(2, -2). What is the perimeter of rectangle ABCD ?

Answer 1

9514 1404 393

Answer:

14

Explanation:

Side AB is a horizontal line (y = -6), so its length is the difference of the x-coordinates: 5 -2 = 3.

Side BC is a vertical line (x = 5), so its length is the difference of the y-coordinates: -2 -(-6) = 4.

The perimeter of the rectangle is twice the sum of the lengths of adjacent sides:

P = 2(L+W) = 2(3 +4) = 14

The perimeter of rectangle ABCD is 14 units.