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.

1 Answer
Dec 21, 2015

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#.