Q:

What is the area of parallelogram RSTU?24 square units26 square units32 square units38 square units

Accepted Solution

A:
Answer:The correct answer is third option, 32 square unitsStep-by-step explanation:Points to remember1). Distance formulaThe distance between two points (x1, y1) and (x2, y2) is given by,Distance = √[(x2 - x1)² +(y2 -y1)²]2. Area of parallelogram = bhWhere b - Length of parallelogram h - Height of parallelogram To find the distance of UT and RUBy using distance formulaUT = √[(x2 - x1)² +(y2 -y1)²]  = √[(6 - 0)² +(2 - 0)²] = 5.6RU = √[(x2 - x1)² +(y2 -y1)²]  = √[(-4 - 0)² +(4 - 0)²] = 5.6To find the area of parallelogram Area = bh   = 5.6 * 5.6   ≈ 32 square units