Question

if the length and breadth of rectangle are doubled how many times the perimeterof old rectangle will that of the new rectangle be​

Answer 1

Answer:

If we double the length and breadth of the rectangle , then the perimeter will become 2 times the perimeter..

Step-by-step explanation:

Consider a rectangle with length x and breadth y.

∴ Perimeter of the rectangle = 2(l+b)

                                                = 2 (x +y)

                                                = 2x + 2y

Now let's double the length and the breadth of rectangle.

∴Length = 2x

Breadth = 2y

Perimeter of Rectangle = 2(l+b)

                                       = 2 (2x +2y)

                                       = 4x + 4y

So if we double the length and breadth of the rectangle , then the perimeter will become 2 times the perimeter.

Answer 2

Answer:

Let length of the former rectangle be and the breadth be 2,then the lengths of the next rectangle would double i.e 2 and 4. perimeter=

2(1+2)=6

2(2+4)=12

Clearly,2 times 6 =12

Therefore the answer is 2 times