Question

what happens to the area of rectangle when
1 its length is doubled the breadth remaining the same
2 its where is double the length remaining the same
3 its length and breadth are both doubled ​

Answer 1

Answer:

1. the area gets doubled

2. the area gets doubled

3. the area becomes 4 times the original area

Step-by-step explanation:

1.

let the length=x, and breadth=y;

then area=length*breadth=xy

now, the length is doubled, hence length=2x

now, area=2x*y=2xy

comparing the original area with the new area,

we get=> 2xy/xy=2

hence, we can say that that the area gets doubled when length gets doubled.

2.

in 1., the length is doubled and now, double the breadth, i.e., breadth=2y

ten new area=x*2y=2xy

therefore, comparing new area with original area, we get=> 2xy/xy=2.

therefore the area gets doubled also when breadth gets doubled.

3.

now double both breadth and length

therefore length=2x, and beradth=2y.

now, new area=2x*2y=4xy

comparing original area with new area, we get:=> 4xy/xy=4.

therefore we can say that, if we double both the length and breadth of a rectangle, the area becomes 4 times of the original area.

thank you