Answer:
34 square units
Step-by-step explanation:
Step 1 : Write the formula for area of rectangle
Area of rectangle = length x breadth
From the graph:
AB = DC
AD = BC
Step 2 : Find the distance between AB and AD to find the length and breadth.
Coordinates : A (-1, 4), B (3, 3)
Distance between two points on AB
Formula : √(x2-x1)² + (y2-y1)²
= √(3-(-1))² + (3-4)²
= √17
Distance between two points on AD
Coordinates of A (-1, 4), D = (-3,-4)
Formula : √(x2-x1)² + (y2-y1)²
= √(-3-(-1))² + (-4-4)²
= √68
Area of rectangle = length x breadth
Area of rectangle = √17 x √68
Area of rectangle = 34
Therefore the area of rectangle = 34 square units
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