By definition, the area of a rectangle is:
\(A = w * l
\)
Where,
w: width of the rectangle
l: length of the rectangle
The total area is given by:
\(A = A1 + A2
\)
Where,
A1: rectangular wooden board 1
A2: rectangular wooden board 2
Substituting we have:
\(60 \frac{3}{8} = (6) (w) + (5\frac{1}{2}) (w)
\)
Rewriting we have:
\(\frac{483}{8} = (6) (w) + (\frac{11}{2}) (w)
\)
\(483 = 48w + 44w
483 = 92w
\)
\(w = \frac{483}{92}
w = 5.25
\)
\(w = 5 \frac{1}{4}
\)
Answer:
The width is given by:
\(w = 5 \frac{1}{4}
\)
