The length of a rectangle is 6 units less than the width. The area of the rectangle is 27 units. What is the width, in units, of the rectangle?
Accepted Solution
A:
The width of rectangle is 9 units.Step-by-step explanation:Given, Width of rectangle = wLength of rectangle = l = w - 6Area of rectangle = A = 27 units[tex]Area\ of\ rectangle=\l*w\\27=(w-6)(w)\\27=w^2-6w\\0=w^2-6w-27\\w^2-6w-27=0\\w^2+3w-9w-27=0\\w(w+3)-9(w+3)=0\\(w+3)(w-9)=0\\[/tex]Either, w+3=0 =>w= -3Or, w-9=0 =>w=9As width cannot be negative, therefore, Width = 9 unitsThe width of rectangle is 9 units.Keywords: rectangle, areaLearn more about rectangles at:brainly.com/question/3309261brainly.com/question/3333996#LearnwithBrainly