The amount of paint needed to cover a wall is proportional to its area. The wall is rectangular and has an area of 4z^2+2z square meters. Factor this polynomial to find possible expressions for the length and width of the wall. (Assume the factors are polynomials.) If z=4 what would the length and width be?
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4z² + 2z = 2z(2z + 1)
So
the width could be 2z meters and the length 2z + 1 meters
the width could be z meters and the length 2(2z + 1) meters
the width could be 2 meters and the length z(2z + 1) meters
or you could swap the words "width" and "length" in the above.
Plug in z = 4 into these expressions.
So
the width could be 2z meters and the length 2z + 1 meters
the width could be z meters and the length 2(2z + 1) meters
the width could be 2 meters and the length z(2z + 1) meters
or you could swap the words "width" and "length" in the above.
Plug in z = 4 into these expressions.