Suppose a quadrilateral has the coordinate points A(2, 4), B(4, -1), C(-1, -3), and D (-3, 2). Explain why ABCD is a parallelogram. Use 2 or more complete sentences. Use the slope formula and/or the distance formula to solve the problem. Be specific in your answer.

To find the perimeter of a quadrilateral on a graph, we use the following steps.

Step 1: Find the coordinates of the vertices from the graph.

Step 2: Apply the distance formula to find the side lengths of the quadrilateral.

Step 3: Add all the side lengths and the sum gives the perimeter of the quadrilateral.

Step-by-step explanation:

true

explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)