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Q: When a rectangle is enlarged by a factor 2 what happens to its area?

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if the length and breadth are increased by 5 times each area becomes 25 times

It becomes half of what the original area is.

If you do not know the length or breadth of a rectangle, you cannot know the area. If you do not know the area of a rectangle, you cannot know the length and breadth. To know the length and breadth of a rectangle, you have to know some other contributing factor in the equation. If you don't, measure it!

Area = length*width new Area = 2 * length * width Area is doubled

the perimeter will double. but the area should doubled to four

Related questions

if the length and breadth are increased by 5 times each area becomes 25 times

The length and breadth of a rectangle are a factor pair of the area of the rectangle.

576

100 is the scale factor

The area also doubles.

(20,5)

It becomes half of what the original area is.

Some people relate factor pairs to the sides of a rectangle. Length times width equals area; factor times factor equals product.

To find the new area, you have to multiply the original area by the square of the scale change. For example, you have a rectangle with adjacent sides of 3 and 4. Another rectangle has the same dimensions but with triple the scale. The original rectangle's area is 12. Multiply that by 9, which is the square of the new scale, and you get an area of 108. That matches up with the area of the new rectangle, which has adjacent sides of 12 and 9.

1/4th of intial area

the area also doubles

The area is directly proportional to both the length andwidth of a rectangle. Thus if one is halved then the area is also halved.

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