Let's assume
shorter side as x
so, first side =2x
third side =x+19
now, we can find perimeter of triangle
perimeter of any triangle is
first side + shortest side + third side
so, we get
we are given perimeter=187
so, we can set it to 187
and then solve for x
so,
shortest length is x=42 feet
First side =2x=2*42=84feet
third side =x+19=42+19=61 feet
so, dimensions are
first side is 42 feet
second side is 84 feet
third side is 61 feet................Answer
Answer:
Minimum value of function is 63 occurs at point (3,6).
Step-by-step explanation:
To minimize :
Subject to constraints:
Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line
Eq (2) is in green in figure attached and region satisfying (2) is below the green line
Considering , corresponding coordinates point to draw line are (0,9) and (9,0).
Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line
Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)
Now calculate the value of function to be minimized at each of these points.
at A(0,9)
at B(3,9)
at C(3,6)
Minimum value of function is 63 occurs at point C (3,6).
