Question

Calculate the minimum and maximum possible areas. Round your answers to the nearest whole square unit.

sara wants to paint a wall. the length and width of the wall are 2 meters and 1.4 meters, respectively.

Can someone explain this to me because I don’t get it, at all. Thanks!

Answer 1

length (x): 0 ≤ x ≤ 2

width (y): 0 ≤ y ≤ 1.4

Find the vertices of the shaded region. Then input those coordinates into the objective function (Area = x * y).  Lastly, observe the minimum and maximum values.

Vertices are: (0,0) (0, 1.4), (2, 0), and (2, 1.4)

(0,0): Area = 0 * 0 = 0

(0,1.4): Area = 0 * 1.4 = 0

(2,0): Area = 2 * 0 = 0

(2,1.4): Area = 2 * 1.4 = 2.8

Answer: The minimum value is 0 m².  The maximum value is 2.8 m²