Question

the width of a rectangle is 6 units less than the length the area of the rectangle is 16 units what is the length in units of the rectangle

Answer 1

Answer:

he's right the answer is 8

Step-by-step explanation:

it worked on my assignment. i'm in high school

Answer 2

Answer:

$Length= 8 units$

$Width=L-6= 8-6= 2 units$

Step-by-step explanation:

Let the length of the rectangle be 'L' units

Width of the rectangle =(L-6) units

Area of the rectangle=$16 units^2$

Area of a rectangle = Length*Width

  $16= L*(L-6)\\\\16=L^2-6L\\\\L^2-6L-16=0$

Making the factors of the equation:

$L^2+2L-8L-16=0$

Taking common from the equation:

$L(L+2)-8(L+2)=0\\\\(L+2)(L-8)=0$

$L+2=0\\\\L=-2$

OR

$L-8=0\\\\L=8units$

As, the length of the rectangle cannot be negative, So,

$Length= 8 units$

$Width=L-6= 8-6= 2 units$