Q:

Polygon ABCD has vertices A(0, 2), B(0, 8), C(7, 8), and D(7, 2). What is polygon ABCD and its perimeter? (Hint: Draw the polygon on the coordinate plane and find the slopes of each side.)A. rectangle; P = 26 linear unitsB. square; P = 42 units2C. parallelogram; P = 42 linear unitsD. trapezoid; P = 26 linear units,

Accepted Solution

A:
Polygon ABCD is just a rectangle, because while it has four sides and four right (90 degree) angles, they are not of equal length. (If ABCD had four sides of equal length and four right angles, it would be a square). To find the perimeter of an object, simply add up the lengths of its sides. ABCD's sides have lengths 6, 6, 7, 7. So the sum of the sides is 26. Therefore, A is the correct answer, because it identifies ABCD correctly as a rectangle and gives the proper perimeter of 26 units.