In the diagram, the measure of angle 9 is 85°.
1 answer:
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Answer:
Wire used for square is 7.55 m.
Step-by-step explanation:
Let the length of wire cut for square be 'x'.
Given:
Total length of the wire = 25 m
Length of wire for square = 'x'
Length of wire for equilateral triangle =
Now, area of square (a) =
Area of equilateral triangle (e) is given as:
Now, total area (A) is given as:
Now, in order to maximize 'A', the derivative of area with respect to 'x' must be 0.
∴
Therefore, the length of the wire that is cut for square should be 7.55 m for maximum area.