A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1 :2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?

A wire of length 340 mm is to be cut into two parts. One of the parts

1.	A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1 :2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?
A.	30
B.	40
C.	120
D.	180
Answer» C. 120

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A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1 :2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?
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A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1 :2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?

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