the width of a rectangle is 5 units less than the lenght. if the area is 104 square units, then find the dimensions of the rectangle

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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