Question 195713
The area of a rectangle is 55 square meters. Find the length and width of the rectangle if its length is 6 meters greater than its width. Use an equation and the formula for area of a rectangle A = l × w 
:
It says,"if its length is 6 meters greater than its width.", therefore:
l = w + 6
:
Substitute (w+6) for l in the: l * w  = 55 
(w+6) * w = 55
w^2 + 6w = 55
w^2 + 6w - 55 = 0; a quadratic equation
Factor this to:
(w - 5)(w + 11) = 0
Positive solution is what we want here:
w = 5 m is the width
then
5 + 6 = 11 m is the length
;
:
Check solution: 11 * 5 = 55 sq/m