Problema Solution
An architecture firm is designing a rectangular chemical-waste holding region for a local chemical manufacturing company. The holding area is to be located on a rectangular lot that is 80 meters wide and 200 meters long. Federal regulations require a safety zone of uniform width around the perimeter of the holding area. And they also require that the holding region (where the chemical waste will be stored) must be 10,000 square meters in area.
Let x represent the width of the safety zone.
Because the length of the lot is 200 meters, what is the length of the holding region in terms of x?
Answer provided by our tutors
there is a safety zone of 'x' around all sides of the retaining pool, giving these equations for length, 'l', and width, 'w', of the holding region:
200 = l + 2x
80 = w + 2x
the area of the holding region is 10,000 m^2, therefore:
lw = 10000
solving these equations we get:
l = 176.6
w = 56.6
x = 11.7
the dimensions of the holding area will be approximately 176.6 by 56.6 meters with a safety zone of approximately 11.7 meters