What is the scale factor of triangle ABC to DEF ?
2 answers:
Answer: The correct option is (A). 3.
Step-by-step explanation: We are given to find the scale factor of dilation from ΔABC to ΔDEF.
As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are
AB = 5 units, BC = 4 units, CA = 3 units,
DE = 15 units, EF = 12 units, FD = 9 units.
We know that the scale factor is given by
Therefore, the scale factor of dilation from from ΔABC to ΔDEF is
Thus, the required scale factor is 3.
Option (A) is correct.
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Answer:
The rug has covered approximately 95 square feet of the living room.
Step-by-step explanation:
Given:
Diameter of rug = 11 feet
We need to find the area covered in living room by the rug.
Solution:
Diameter of rug = 11 feet
Radius is half of the diameter.
Radius of the rug =
Now it has been given that rug is in circular shape.
So we will find the area of the rug using Area of circle formula which is given by π times square of the radius.
Framing in equation form we get;
area of the rug =
Hence The rug has covered approximately 95 square feet of the living room.