rectangle alhere
A Wire
Wire of length 340 mm is to be
Cut into two parts. One of the
parts is to be made into a gure
and other into a
sides are in the ratio of 1:2.
What is the length of the side
of the squre (in mm) such
that the Combined area of the
sowee and the rectangle is a
Minimum
Answers
Answered by
0
Answer: 40mm
Step-by-step explanation:
Perimeter of rectangle = 2
a
+
2a
= 2a
3 3
Length of square =
340 - 2a
4
Total area =
340 - 2a
² +
2ae
= f'(a)
4 4
Condition for minimum area f'(a) = 0
2
340 - 2a
- a
+
4
a = 0
4 2 9
4
a =
1
(340 - 20)
9 4
a = 90
Length of the square =
340 - 2a
= 40 mm
4
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