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)
