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

For this problem, you ought to remember the formula for area of a rectangle is (length • width)

Explanation:

Let A be area, l be length and w be width.

A = (5x - 3)(2x)
Use the distributive property --> `10x^2` - 6x

The rectangle has an area of `10x^2` - 6x

Answer 2

Area: `10x^2-6x`

Explanation:

Area of rectangle `= color(red)("length") xx color(blue)("width")`

Area of given triangle `=color(red)((5x-3))xxcolor(blue)((2x))`

`color(white)("XXXXXXXXXXX")=(color(red)((5x))xxcolor(blue)((2x)))-(color(red)((3))xxcolor(blue)((2x)))`

`color(white)("XXXXXXXXXXX")=10x^2-6x`