Question

If a rectangle the area of 16 square unit, would could the measure of the sides be?

Answer 1

See below.

Explanation:

We are asked to find measures of the unknown sides for the given area.

Let's keep in mind that a rectangle's area is;
`Area = (width) * (height)`

One simple way to find all of the possible side lengths is to find all of the factors of 16.

What are Factors?

Factors are 2 whole numbers that multiply together to have the product of that given number.

Think of how many ways we can get to 16 by multiplying 2 numbers.

`f_(1) * f_(2) = 16\\f \ represents \ a \ factor.`

Here's all of the possible ways we can get to 16 with whole numbers.

`8 * 2 = 16\\4 * 4 = 16\\2 * 8 = 16\\1 * 16 = 16\\16 * 1 = 16`

Remember that the Width and Length of a Rectangle can have different values even with the same numbers multiplied.

`(8 * 2) \ and \ (2 * 8)\\Length \ can \ equal \ 2, \ or \ 8.\\Width \ can \ equal \ 8, \ or \ 2.`

These are all of the possible answers.