# What is the trinomial that represents the area of a rectangular rug whose sides are (x+3) feet and (2x-1) feet?

So in this case the area would be

This we can multiply out to obtain

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The trinomial that represents the area of a rectangular rug with sides of length ( (x+3) ) feet and ( (2x-1) ) feet is obtained by multiplying the expressions representing the lengths of the sides:

[ \text{Area} = (x + 3)(2x - 1) ]

Expanding this expression gives:

[ \text{Area} = 2x^2 - x + 6x - 3 ]

[ \text{Area} = 2x^2 + 5x - 3 ]

So, the trinomial representing the area of the rectangular rug is ( 2x^2 + 5x - 3 ).

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