Question

If each side of a rectangle is doubled, then the ratio of the areas of the original rectangle.​

Answer 1

Step-by-step explanation:

Given,

each side of a rectangle is doubled

In case of first rectangle

Let the length of rectangle be l.

And

Breadth of rectangle be b.

Area of first rectangle be A1.

Then,.

Area of first rectangle (A1) = length × breadth

Area of first rectangle (A1) = lb

In case of second rectangle

Let the area of second rectangle be A2 .

Length of second rectangle = double of length of first rectangle (given)

Then,

Length of second rectangle = 2l

Breadth of second rectangle = double of breadth of first rectangle (given)

Breadth of second rectangle = 2b

Then,

Area of second rectangle (A2) = 2l × 2b

Area of second rectangle (A2) = 4lb

Required ratio = A2/A1

Required ratio = 4lb/lb

Required ratio = 4

Hence,

Required ratio is 4:1.