Question

A rectangle has a length of x + 6 and a width of x -- 4. Write an equation that describes the area, A, of the rectangle in terms of x.

Answer 1

Given for a rectangle:

The length = x + 6

The width = x - 4

The area of the rectangle = length times width

So, the expression in terms of x will be:

$\begin{gathered} A=(x+6)(x-4) \\ A=x\cdot(x-4)+6\cdot(x-4) \\ A=x^2-4x+6x-24 \\ \\ \\ A=x^2+2x-24 \end{gathered}$