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
[tex]L(L-6)=247[/tex]
[tex]L^{2} -6L=247[/tex]
[tex]L^{2} -6L-247=0[/tex]
Now here a = 1, b = -6 and c = -247
So, putting these in quadratic equation formula, we get
[tex]L=\frac{-(-6)+\sqrt{(-6)^{2}-(4)*(1)*(-247) } }{2*1}[/tex]
This gives L=19 or -13
As it is a dimension, so we will neglect the negative value.
Hence, L = 19 feet
Width = [tex]19-6[/tex] = 13 feet
