Answer:
Area = 16 units²
Step-by-step explanation:
Points to remember
Distance formula
The distance between two points (x1, y1) and (x2, y2) is given by
Distance = √[(x2 - x1)² + (y2 - y1)²]
To find the length and breadth of rectangle
Let the points be (1, 7) , (5, 3)
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(5 - 1)² + (3 - 7)²]
= √[(4)² + (-4)²]
= √32 = 4√2
If the points be (5, 3) , (3, 1)
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(3 - 5)² + (1 - 3)²]
= √[(-2)² + (-2)²]
= √8 = 2√2
Length = 4√2 and breadth = 2√2
To find the area of rectangle
Area = Length * Breadth
= 4√2 * 2√2
= 16 units²
