Given is :
The area of the rectangular patio is = 130 square feet
Let the width of the patio be = x feet
As length is 3 feet more than the width, so the length is = x+3 feet
Now area of rectangle is = length * width
[tex]x(x+3)=130[/tex]
[tex]x^{2}+3x=130[/tex]
[tex]x^{2}+3x-130=0[/tex]
[tex]x^{2}+13x-10x-130=0[/tex]
[tex]x(x+13)-10(x+13)=0[/tex]
[tex](x-10)(x+13)=0[/tex]
This gives either x-10=0 or x+13=0
x-10=0 ; x=10
x+13=0 ; x=-13 (neglect this negative value)
So, the width of the patio is = 10 feet
Length = 10+3 = 13 feet
