Question

26. If the area of the rectangle shown below is given by the expression 3x + 7x - 6,

and the width is (x +3), which of the following could represent the length?
A = (3x+2)
B=(x+2)
C=(3x-3)
D=(3x-2)​

Answer 1

D=(3x-2)

Explanation:

Area=length×width =3x²+7x-6

thus a=3 b=7 c=-6

W=(x+3)

since c is -6 it has to be the product of 3(from W)=-2

since a=3 multiply by x (from W) 3×x=3x

=3x-2

check if its correct.

3x-2×x+3

x(3x-2)+3(3x-2)

3x²-2x+9x-6

3x²+7x-6 thus its true