Question

Each side of a square is (x-5) units. Which expression can be used to represent the area of the square?

Answer 1

Explanation:

Answer 2

`Area = (x - 5)^2` and
`Area = x^2 - 10x + 25`

Explanation:

Given

`Length = (x - 5)\ units`

Required

Determine the area of the square

`Area = Length * Length`

`Area = (x - 5) * (x - 5)`

This can be expressed as

`Area = (x - 5)^2`

Or:

`Area = (x - 5) * (x - 5)`

Open brackets

`Area = x(x -5) -5(x - 5)`

`Area = x^2 - 5x - 5x + 25`

`Area = x^2 - 10x + 25`

Hence, the expressions are:

`Area = (x - 5)^2` and
`Area = x^2 - 10x + 25`