Question

Each side of a rectangle is doubled.

The ratio between areas of the original rectangle and the resulting rectangle is 1:4
If true then enter $1$ and if false then enter $0$

Answer 1

Let the length of the original rectangle $=l$ cm and breadth $=b$ cm.
Area of the original rectangle $=l\times b$
Since, the dimensions of the rectangle are doubled, length of the resulting rectangle $=2l$ cm and breadth $=2b$ cm.
Area of the resulting rectangle $=2l\times 2b=4(l\times b)$
Ratio of the areas of the original rectangle and the resulting rectangle $=l\times b:4(l\times b)=1:4$