Answer:
Length is 19 feet.
Width is 13 feet.
Step-by-step explanation:
Let the length of the rectangle be = L feet
The width is 6 feet less than its length, so width is = L-6 feet
The area of the rectangle is 247 square feet, means length x width = 247
\(L(L-6)=247\)
\(L^{2} -6L=247\)
\(L^{2} -6L-247=0\)
Now here a = 1, b = -6 and c = -247
So, putting these in quadratic equation formula, we get
\(L=\frac{-(-6)+\sqrt{(-6)^{2}-(4)*(1)*(-247) } }{2*1}\)
This gives L=19 or -13
As it is a dimension, so we will neglect the negative value.
Hence, L = 19 feet
Width = \(19-6\) = 13 feet
