Answer:
Step-by-step explanation:
The co-ordinates of the rectangle are:
A (8, 6)
B (-4, -10)
C (-8, -7)
D (4, 9)
The Area of Rectangle is Given by: <em>length x breadth </em>= AB x BC
Lengths of AB and BC can be found by distance formula
<em>length</em>(AB) = =
Similarly,
<em>length</em>(BC) = 5
Area of Rectangle = AB x BC = 20 x 5 = 100 square units
Answer: The area of the Polygon D is 36 times larger than the area of the Polygon C.
Step-by-step explanation:
<h3> The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>In order to solve this problem it is important to analize the information provided in the exercise.
You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.
Then, you can identify that the Length scale factor used is:
Now you have to find the Area scale factor.
Knowing that the Length scale factos is 6, you can say that the Area scale factor is:
Finally, evaluating, you get that this is:
Therefore, knowing the Area scale factor, you can determine that the area of the Polygon D is 36 times larger than the area of the Polygon C.