Answer:
Length = ( x - 1 ) ( m)
Step-by-step explanation:
Area of rectangle is:
A(r) = l*w ( in m² ) where l is the length in m and w is the width in m
If we have: A(r) = x² - 6*x - 7 (m²), as an area of a rectangle, then we can factoring the equation, and get the rectangle dimensions, then:
x² - 6*x - 7 = ( x - 1 ) * ( x - 7 ) = area of the rectangle in m²
As problem statement establishes that ( x - 7 ) ( m) is the width, then
( x - 1 ) ( m) is the length
