Sure. To find the scale factor of the rectangle shown in the image, we need to find the ratio of the corresponding sides of the enlarged rectangle to the original rectangle.
From the image, we can see that the original rectangle has a width of 2 cm and a length of 5 cm. The enlarged rectangle has a width of 10 cm and a length of 14 cm.
Therefore, the scale factor of the enlargement is:
```
Scale factor = (Width of enlarged rectangle) / (Width of original rectangle)
= 10 cm / 2 cm
= 5
```
Therefore, the rectangle is enlarged by a scale factor of **5**.
**Another way to solve this problem is to use the area of the rectangles.** The area of the original rectangle is 2 cm * 5 cm = 10 cm^2. The area of the enlarged rectangle is 10 cm * 14 cm = 140 cm^2.
Since the area of the enlarged rectangle is 14 times greater than the area of the original rectangle, the scale factor of the enlargement must be 14. Therefore, the rectangle is enlarged by a scale factor of **5**.
Answers & Comments
Sure. To find the scale factor of the rectangle shown in the image, we need to find the ratio of the corresponding sides of the enlarged rectangle to the original rectangle.
From the image, we can see that the original rectangle has a width of 2 cm and a length of 5 cm. The enlarged rectangle has a width of 10 cm and a length of 14 cm.
Therefore, the scale factor of the enlargement is:
```
Scale factor = (Width of enlarged rectangle) / (Width of original rectangle)
= 10 cm / 2 cm
= 5
```
Therefore, the rectangle is enlarged by a scale factor of **5**.
**Another way to solve this problem is to use the area of the rectangles.** The area of the original rectangle is 2 cm * 5 cm = 10 cm^2. The area of the enlarged rectangle is 10 cm * 14 cm = 140 cm^2.
Since the area of the enlarged rectangle is 14 times greater than the area of the original rectangle, the scale factor of the enlargement must be 14. Therefore, the rectangle is enlarged by a scale factor of **5**.
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Answer:
answer is 14 cm
Step-by-step explanation:
perimeter = (2+2)+(5+5)
= 4+10
= 14 c
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