Answer:
The length is 13 and width is 8
Step-by-step explanation:
Let the length is L
Width will be L-5
Area of rectangle = Length x Width
Putting the values
104 = L x L-5
104=l(l−5)
Simplify both sides of the equation.
104=l²−5l
Subtract l²-5l from both sides.
104−(l²−5l)=l²−5l−(l²−5l)
−l²+5l+104=0
Factor left side of equation.
(−l−8)(l−13)=0
Set factors equal to 0.
−l−8=0 or l−13=0
l=−8 or l=13
We will take l = 13 because length cannot be negative
Now for width we know that w = l -5
So width is 13 -5 = 8
