Question

40 points!! What is the area of the quadrilateral with vertices at (2, -4), (4, -4), (2, 1), and (4, 1)?

Answer 1

Answer:Expand areaofthequadrilateralwithverticesat(2, - 4),(4, - 4),(2,1),and(4,1)

Step 1: Multiply (areaofthequadrilateralwithverticesat) * (2, - 4,)

Step 1.1: Multiply areaofthequadrilateralwithverticesat by each term in 2, - 4,

Step 1.1.1: Multiply areaofthequadrilateralwithverticesat * 2,

Group constants and powers by variable

(1 * 1)(a1 + 1 + 1 + 1 + 1 + 1r1 + 1 + 1 + 1e1 + 1 + 1 + 1 + 1o1f1t1 + 1 + 1 + 1 + 1h1 + 1q1u1d1i1 + 1 + 1l1 + 1w1v1c1s1)

a6r4e5oft5h2qudi3l2wvcs

Step 1.1.2: Multiply areaofthequadrilateralwithverticesat * -4,

Group constants and powers by variable

(1 * 1)(a1 + 1 + 1 + 1 + 1 + 1r1 + 1 + 1 + 1e1 + 1 + 1 + 1 + 1o1f1t1 + 1 + 1 + 1 + 1h1 + 1q1u1d1i1 + 1 + 1l1 + 1w1v1c1s1)

a6r4e5oft5h2qudi3l2wvcs

Step 1 answer = a6r4e5oft5h2qudi3l2wvcs + 1a6r4e5oft5h2qudi3l2wvcs

Group all like terms

2a6r4e5oft5h2qudi3l2wvcs

Explanation: