The lengths of the sides of two squares are in the ratio 3 : 4. What is the
ratio of the areas of the two squares?

A RATIO is the quotient of two numbers or two quantities.

The RATIO of 3:4 can also be written as:

3/4 or 3:4

A PROPORTION is a mathematical statement that two ratios are equal.

In the proportion a/b = c/d, the products ad and bc are called cross products.

If a/b = c/d then ad=bc

in your question a ratio of 3:4 could be exampled as:

one rectangle could be measured as 3" two sides and 4" on the other two

giving you your original 3:4 ratio

another example would be a rectangle measuring at 12 inches by 16 inches:

Here is your RATIO PROPORTION:

3/4 = 12/16

You get the similar ratios by multiplying the numerator of the first ratio by the denominator of the second ratio which would be 3 * 16 = 48

and 4 * 12 = 48

There you have an example of a 3:4 ratio

Step-by-step explanation: