Question

The rectangle below has an area of x^2-6x-7 sq meters and a width of x-7 meters.

What expression represents the length of the rectangle?


Length=______ meters

Answer 1

Length = ( x - 1 ) ( m)

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