Solution:
The area of a recatngle is expressed as
Given that the length of the rectangle is 13 centimeters less than four times its width, this implies that
Tha area of the rectangle is 35 square centimeters. This implies that
Substitute equation 1 into equation 2. Thus,
Solve equation 3 by using the quadratic formula expressed as
thus, we have
but the width cannot be negative. thus, the width of the recangle is
From equation 1,
substitute the obtained value of W into equation 1.
Thus, we have
Hence:
The width is
The length is