Answer:
12m x 7m
Step-by-step explanation:
Let us start with the formula fo the area of a rectangle, [tex]A=l*w[/tex], where l represents the length of the rectangle and w represents the width of the rectangle.
We are given that the width of a rectangle is 5 meters less than its length. We can set the width as [tex]x[/tex]. If the width is [tex]x[/tex], the length must be 5 more than that. We have the length now as [tex]x+5[/tex].
Now, we can plug in the equation to solve for [tex]x[/tex] :
[tex]x(x+5)=84\\x^2+5x=84\\x^2+5x-84=0\\(x+12)(x-7)=0\\x=-12, x=7[/tex]
We have two x values. However, we know that length can never be negative. Thus, we know that the width must be 7 meters. The height is 5 more than the width, so we have 12 meters.
The dimensions of the rectangle is 12m x 7m.
I hope this helps! Let me know if you have any questions :)
