Edward is making a rectangular picture frame. He wants the perimeter of the frame to be no more than 96 inches. He also wants th

Question

3 years ago

6

Edward is making a rectangular picture frame. He wants the perimeter of the frame to be no more than 96 inches. He also wants th

e length of the frame to be greater than or equal to the square of 4 inches less than its width. Create a system of inequalities to model the above situation and use it to determine how many of the solutions are viable.

Mathematics

2 answers:

NeTakaya · Answer 1 · 2022-07-28T21:20:45+03:00

NeTakaya3 years ago

8 0

Answer:

(D.) Part of the solution region includes a negative width; therefore, not all solutions are viable for the given situation.)

Stells [14] · Answer 2 · 2022-07-28T19:07:02+03:00

Let
x------------> the length of the frame
y-----------> the width of the frame

we know that
Perimeter of the frame=2*(x+y)
2*(x+y) <=96
x>=(y-4)²

using a graph tool
see the attached figure

the solutions that are viable are those in which the values of x and y are positive belonging to the total solution of the system