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

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Answer 1 · 2016-05-23T15:26:00

#5x^2 + 20x#

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 · 2016-05-23T15:26:11

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

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")#