Answer:
Area of rectangle = 40 square units
Step-by-step explanation:
<u>Points to remember</u>
<u>Distance formula</u>
Length of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Area of rectangle = Length * Breadth
<u>To find the length and breadth</u>
Here a rectangle with vertices at (7, 3), (12, 3), (12, 11), and (7, 11)
Length1 = √[(x₂ - x₁)² + (y₂ - y₁)²]
√[(12 - 7)² + (3 - 3)²] = √5² = 5
Length2 = √[(x₂ - x₁)² + (y₂ - y₁)²]
√[(12 - 12)² + (11 - 3)²] = √8² = 8 units
Therefore Length of rectangle = 8 and
Breadth of rectangle = 5 units
<u>To find the area of rectangle</u>
Area = Length * Breadth
= 8 * 5 = 40 square units
