Answer: length = 2 , width = 6
Step-by-step explanation:
The formula for calculating the area of a rectangle is given by :
Area = length x width
Let the length of the rectangle be x , since the width is 4 units more than the length , this means that the width is x + 4
substituting into the formula for calculating area , we have
12 = x ( x + 4)
12 = [tex]x^{2}[/tex] + [tex]4x[/tex]
Therefore :
[tex]x^{2} + 4x - 12[/tex] = 0
factorizing, we have
[tex](x+6)(x-2)[/tex] = 0
Therefore :
either [tex](x+6)= 0[/tex] or [tex](x - 2) = 0[/tex]
This means that [tex]x = -6[/tex] or [tex]x = 2[/tex]
Since the length can not be negative , this means that the length = 2
and the width = 4 + 2 = 6
