Question

The width of a rectangle is 13 units less than the length. If the area is 140 square units, then find the dimensions of the rectangle.

Answer 1

Answer: Length = 20 units, Width = 7 units

Step-by-step explanation:

Let w = width

let l = length

We can see that l = w + 13 or w = l - 13

We also know that w*l=140

We can substitute the l for a w like this

w*(w+13)=140

Which will get w^2+13w-140=0

Using factoring, we get: (w-7)(w+20)=0

We eliminate the (w+20) = 0 as a side length cannot be equal to 0

So w-7=0, w = 7

Now we solve for length: l = (7) + 13

l = 20

Answer: Length = 20 units, Width = 7 units