If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?

Step-by-step explanation:

Let 's' be the side of the original square

the length of the side of a square is doubled, so the length of the new square is 2s

Area of the original square with side length 's' is

Area of the new square with side length '2s' is

Area of the new square is 4  times the area of the original square

ratio of the areas of the original square to the area of the new square

529 and 531

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!