A square has side lengths of 4x - 3 and 2x - 5. What is the area of the square?

the sides will have to be equal .....

4x - 3 = 2x - 5

solve for x, then square that number to get the area

To find the area of a square, we multiply the length of one side by itself. In this case, the side lengths of the square are given as 4x - 3 and 2x - 5.

The area of the square is calculated as follows:
Area = (side length)²

So, we need to square one of the side lengths. Let's choose 4x - 3 as the side length.

Area = (4x - 3)²

To find the square of a binomial expression, we can use the formula: (a - b)² = a² - 2ab + b².

Applying this formula, we get:

Area = (4x - 3)²
= (4x)² - 2(4x)(3) + (3)²
= 16x² - 24x + 9

Therefore, the area of the square with side lengths of 4x - 3 and 2x - 5 is 16x² - 24x + 9.