Verified answer

Answer:

10ft

Step-by-step explanation:

The area of a rectangle is defined as

A = length * width OR  

  = base * height OR  

 = depth * width

We don't know the exact length and width, but we do have some details about it. Let's set the length as x.

If length = x, then width (which is 8 feet less than its length) is x -8:

l = x

w = (x-8)

A = 180 ft^2

We can then solve for x given the following

A = length * width

180 ft^2 = x * (x-8)

180 ft^2 = x^2 - 8x

x^2 - 8x -180 = 0

(x + 10) * (x-18) = 0

From the above, we can see that x can either be -10ft or 18ft. However, we can not have a negative length. Therefore, x = 18ft.

The length is 18ft, but the plot of land is 10 ft wide.

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