Question

There is a rectangle with a width of 5x and a length of x + 4. How do you find the area of the rectangle?

Answer 1

`5x^2 + 20x`

Explanation:

The area of a rectangle is given by the product of its width by its length, therefore, `5x * (x+4) = 5x * x + 5x * 4 = 5x^4 + 20x`//

Answer 2

`"area "= 5x^2+20x`

Explanation:

area is width multiplied by length

Length given as `x+4`
Width given as `5x`

Let area be `a`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So area is width multiplied by length`" "->a=5x xx (x+4)`

Normally written as `a=color(blue)(5x)color(brown)((x+4))`

We multiply everything inside the bracket by `color(blue)(5x)`

So we have:

`a=color(brown)((color(blue)(5x xx)x )+(color(blue)(5x xx)4)`

`a=5x^2+20x`

`color(red)("As we do not know the value of " x " we can not take this any further")`