Determine the expressions that represent the length and width of the rectangle

Question

A rectangle has an area of 2q²-11q-21, where it's length and width are expressed by two binomials. 

Answer 1

2q2-11q-21 is the area

area=length*width

factor the trinomial into the product of two binomials

2q²-11q-21

2*21=2*3*7=(2*7)*3 and 14-3=11

(2q    )(q    ) so far...

(2q   3)(q  7) so far...

(2q+3)(q-7) is the answer