Question

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 ​

Answer 1

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Answer 2

The length is 13 and width is 8

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