If the scale factor is 5, how many times larger will the scaled copy's area be?
1 answer:
Answer:
25 times
Step-by-step explanation:
Scale factor is the ratio of dimensions of the image and the preimage.
Scale factor =
Since area of a figure is the square of dimensions.
Area = Length × Width
Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.
Area scale factor =
= (Scale factor)²
= 5²
= 25
Therefore, area of the image will be 25 times the area of the preimage.
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Answer:
8 cm
Step-by-step explanation:
(See the image attached for details)
- The blue segment measures 15 cm
- The green segment measures 7 cm
- The green and yellow segment when added form the blue segment
- So: ? + 7 = 15
Solve:
? + 7 = 15
Subtract 7 on both sides:
? + 7 = 15
-7 -7
? = 8 cm
Therefore, the yellow segment, or the missing side length, measures 8 cm.
