Respuesta :
Answer:
[tex]Length= 8 units[/tex]
[tex]Width=L-6= 8-6= 2 units[/tex]
Step-by-step explanation:
Let the length of the rectangle be 'L' units
Width of the rectangle =(L-6) units
Area of the rectangle=[tex]16 units^2[/tex]
Area of a rectangle = Length*Width
[tex]16= L*(L-6)\\\\16=L^2-6L\\\\L^2-6L-16=0[/tex]
Making the factors of the equation:
[tex]L^2+2L-8L-16=0\\\\[/tex]
Taking common from the equation:
[tex]L(L+2)-8(L+2)=0\\\\(L+2)(L-8)=0\\[/tex]
[tex]L+2=0\\\\L=-2[/tex]
OR
[tex]L-8=0\\\\L=8units[/tex]
As, the length of the rectangle cannot be negative, So,
[tex]Length= 8 units[/tex]
[tex]Width=L-6= 8-6= 2 units[/tex]
Answer:
he's right the answer is 8
Step-by-step explanation:
it worked on my assignment. i'm in high school
