Answer:
12
Step-by-step explanation:
A (-4,1) B(-1,-2) C(-3,-4) D(-6,-1)
AB² = (-1 - (-4))² + (-2 -1)² = 18
AB = 3√2
BC² = (-3 - (-1))² + (-4 - (-2))² = 8
BC = 2√2
Area: AB x BC = 3√2 x 2√2 = 12
Answer:
Area of the rectangle = 12 sq.units
Step-by-step explanation:
To find the area of the rectangle shown in the figure,we have to find the length and breadth of it which inturn can be found by applying distance formula between two points.
Step 1:
Identifying the points from the graph
The 4 corners of the rectangle are:
(-4,1) , (-1,-2) , (-3,-4) , (-6,-1)
Step 2:
Applying distance formula to find length and breadth.
Distance formula = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
Length = [tex]\sqrt{(-1+4)^{2}+(-2-1)^{2}}=3\sqrt{2}\ units[/tex]
Breadth = [tex]\sqrt{(-1+3)^{2}+(-2+4)^{2}}=2\sqrt{2}[/tex]
Step 3:
Area = length×breadth
= [tex]3\sqrt{2}\times2\sqrt{2}=12\ square\ units[/tex]
