Q:

Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. Then find the perimeter of the quadrilateral. A(6, –4), B(11, –4), C(11, 6), D(6, 6)

Accepted Solution

A:
Answer:The answer to your question is: it's a rectangle perimeter = 30 uStep-by-step explanation:d = √((x2.x1)² + (y2-y1)²)Now, calculate the distances AB, BC, CD, ADdAB = √((11-6)² + (-4+4)² = √5² = 5dBC = √((11-11)² + (-4-6)² =√10 = 10dCD = √((6-11)² + (6-6)² = √5² = 5dAD = √((6-6)² + (6+4)² = √10² = 10From the results we conclude that is a rectangle because two sides have the same length and the other two also measure the same. We can draw it to confirm this.Perimeter = dAB + dBC + dCD + dAD                  = 5 + 10+ 5 + 10 = 30 units