If the width of a rectangular piece of carpet is 2x+ 1 yards and the length is three yards less than twice as long as the width, what is the area of the carpet?

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Answer 1 · 2016-10-10T06:35:22

#"Area"=8x^2+2x-1#

so what we know is:
#"Width" = 2x+1#
#"Length" = 2*"Width"-3#, So,
#"Length"=2*(2x+1)-3#
#"Length"=4x+2-3#
#"Length"=4x-1#

Now since the area of a rectangle is Length times Width:
#"Area"=(2x+1)(4x-1)#
#"Area"=8x^2-2x+4x-1#
#color(blue)("Area"=8x^2+2x-1)#