What is the area of the composite figure?
2 answers:
Answer:
area of the compostie figure = 34 squre units
Step-by-step explanation:
To find the area of this composite figure , first find the area of the trapezoid
then we subtract the area of rectangle (white part of the figure at the bottom)
Area of the trapezoid = (base1+base2)/2 times height
base 1= 10
base 2=6, height = 5
Area of a trapezoid = = 40
Area of the rectangle = length * width
= 3*2= 6
Now area of the compostie figure = 40 - 6= 34 squre units
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Answer: By the slope formula.
Step-by-step explanation:
Given: ABC is a triangle (shown below),
In which A≡(6,8), B≡(2,2) and C≡(8,4)
And, D and E are the mid points of the line segments AB and BC respectively.
Prove: DE║AC and DE = AC/2
Proof:
Since, And, D and E are the mid points of the line segments AB and BC respectively.
Therefore, By mid point theorem,
coordinate of D are
Coordinate of E are
By the distance formula,
By the slope formula,
Slope of AC =
Slope of DE =
Statement Reason
1. The coordinate of D are (4,5) and 1. By the midpoint formula
the coordinate of E are (5,3)
2. The length of DE = √5 2. By the Distance formula
The length AC = 2√5 ⇒ Segment DE
is half the length of segment AC
3. The slope of DE = -2 and the 3. By the slope formula
slope of AC = -2
4. DE║AC 4. Slopes of parallel lines are equal
