By definition, the area of a rectangle is:
Where,
w: width of the rectangle
l: length of the rectangle
The total area is given by:
Where,
A1: rectangular wooden board 1
A2: rectangular wooden board 2
Substituting we have:
Rewriting we have:
Answer:
The width is given by:
Answer: 2 distinct complex solutions (ie non real solutions).
Work Shown:
The given equation is in the form ax^2+bx+c = 0, so
a = 1, b = 3, c = 8
Plug those into the formula below to find the discriminant
D = b^2 - 4ac
D = 3^2 - 4(1)(8)
D = -23
The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and . The two solutions are different from one another.