Question

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

Answer 1

Answer:

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

Step-by-step 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    $Area = x^2 - 10x + 25$