A square has side 4 cm. Another square is obtained by doubling the sides of the first square. What is the ratio between the areas of the first and the second square?

Q. The length of the diagonal of a square and that of the side of another square are both 10 cm. What is the ratio of the area of the first square to that of the second?

Q. What is the area of a square whose side is double the side of another square with an area of 100m2 ?

Q. The side of a square exceeds the side of the another square by $4cm$ and the sum of the areas of the two squares is $400$ sq.m. Find the dimensions of the squares.

Q. Amar drew a square. He then erased it and drew a second square whose sides were $3$ times the sides of the first square. By what percent was the area of the square increased?

Q. Let $S_1$ be a square of side $5$ cm. Another square $S_2$ is drawn by joining the mid-points of the sides of $S_1$. Square $S_3$ is drawn by joining the mid-points of the sides of $S_2$ and so on. Then, (area of $S_1+$ area of $S_2+$ area of $S_3+\cdots +$ area of $S_{10}$) is