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.

2 Answers
Dec 26, 2015

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

Dec 26, 2015

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#