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:
$"Area"=(2x+1)(4x-1)$
$"Area"=8x^2-2x+4x-1$
$color(blue)("Area"=8x^2+2x-1)$