Rectangle ABCD is shown on the grid.The area of rectangle ABCD in square units is_____ .Anyone know how to do this math problem and if so could you please take your time to explain it in the comments below thank you!
Accepted Solution
A:
Answer:34 square unitsStep-by-step explanation:Step 1 : Write the formula for area of rectangleArea of rectangle = length x breadthFrom the graph: AB = DCAD = BCStep 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 ABFormula : √(x2-x1)² + (y2-y1)²= √(3-(-1))² + (3-4)²= √17Distance between two points on ADCoordinates of A (-1, 4), D = (-3,-4)Formula : √(x2-x1)² + (y2-y1)²= √(-3-(-1))² + (-4-4)²= √68Area of rectangle = length x breadthArea of rectangle = √17 x √68Area of rectangle = 34Therefore the area of rectangle = 34 square units!!