Answer:
Width = 3 inch and length = 6 inch
Step-by-step explanation:
The width of a frame = x
A frame 3-in longer than it was wide. Length = 3+x
Area of the frame = 18 sq inch
We need to find the the dimensions of the length and width of the frame Zach purchased,
Area of a rectangle is given by : A = lb
[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]
Neglecting negative value
Width = 3 inch
Length = 3 + 3 = 6 inch
Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.