Question

If the length of a rectangle is represented by `(5x-3)` and the width is represented by `(2x)`, what is the area of the rectangle in terms of `x`? Please show working.

Answer 1

area`=10x^2-6x`

Explanation:

Recall that the formula for the area of a rectangle is:

`A=lw`

where:
`A=`area
`l=`length
`w=`width

To find the area of the rectangle, substitute the length, `(5x-3)`, and the width, `(2x)`, into the equation.

`A=lw`
`A=(color(orange)(5x)-color(green)3)(color(red)(2x))`
`A=color(orange)(5x)*color(red)(2x)-color(green)3*color(red)(2x)`
`A=10x^2-6x`

`:.`, the area of the rectangle is `10x^2-6x`.