I think its b

An rug has an area of 150 ft2. The width of the rug is 5 feet less than the length.

Which equation models the area of the rug?

x (x - 5) = 150

x (x + 5) = 150

2x - 5 = 150

x (5 - x) = 150

Assuming that the rug is rectangular in shape, therefore the formula of area is:

A = l w - - - > 1

where l is the length of the rug and w is the width of the rug

We are given that the width of the rug is 5 feet less than the length, therefore:

w = l - 5 - - - > 2

Combining equations 1 and 2 and knowing that A = 150 will give us:

l (l - 5) = 150

In the given choices, l = x, therefore:

x (x - 5) = 150

Hence the correct answer is the 1st one (A)