Answer:
The correct answer is third option,
32 square units
Explanation:
Points to remember
1). Distance formula
The distance between two points (x1, y1) and (x2, y2) is given by,
Distance = √[(x2 - x1)² +(y2 -y1)²]
2. Area of parallelogram = bh
Where b - Length of parallelogram
h - Height of parallelogram
To find the distance of UT and RU
By using distance formula
UT = √[(x2 - x1)² +(y2 -y1)²]
= √[(6 - 0)² +(2 - 0)²] = 5.6
RU = √[(x2 - x1)² +(y2 -y1)²]
= √[(-4 - 0)² +(4 - 0)²] = 5.6
To find the area of parallelogram
Area = bh
= 5.6 * 5.6
≈ 32 square units