Question

How many ways can you build a rectangle in order to produce a surface area of 12 square inches? *

one way
two ways
eight ways
six ways
four ways

Answer 1

Six ways

Explanation:

To find the number of ways you can build a rectangle to produce a surface area of 12 square inches, we need to consider all the possible combinations of dimensions that can result in an area of 12 square inches.

The surface area of a rectangle is given by the formula:

=> Area = length x width

In this case, the area is 12 square inches. We can express this mathematically as:

=> 12 = length x width

We need to find all the pairs of positive whole numbers (length and width) that, when multiplied together, give us a product of 12.

Let's list all the possible combinations:

1. 1 x 12 = 12
2. 2 x 6 = 12
3. 3 x 4 = 12
4. 4 x 3 = 12
5. 6 x 2 = 12
6. 12 x 1 = 12

So, there are six different ways you can build a rectangle to produce a surface area of 12 square inches.