42.Plot the points A(-5,-2), B(1,-2).C(6,4) and D(0,4).Join the points to get
AB,BC,CD and DA. Name the figure so obtained and find its area.
Answers
Answer:
The figure so obtained is a parallelogram as the quadrilateral formed has opposite sides equal and parallel.
Area of the parallelogram = 36 sq. unit
Step-by-step explanation:
We can show that the quadrilateral is a parallelogram by finding the measurement of each of its sides using the distance formula.
The sides being parallel are directly observed by the graph.
For area, let's calculate the measurement of length of one of the sides of the parallelogram i.e. AB,
AB = √[ ( - 2 + 2 )² + ( - 5 - 1 )² ]
AB = √[ ( 0 )² + ( - 6 )² ]
AB = √[ 0 + 36 ]
AB = √36
AB = 6 units
Height of parallelogram can be calculated with the help of graph by finding the distance between AB and it's opposite side i.e. CD.
Hence, CD = 6 units
Now we know that, the area of parallelogram is the product of its base and it's height.
Area of parallelogram = Base * Height
Area of parallelogram = 6 * 6 = 36 sq. unit
