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The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. What is the side of a square? I) The area of a rectangle is 40 sq.cm. II) The difference between the length and breadth of the rectangle is 6 cm. III) The Perimeter of a square is equal to the perimeter of the rectangle.

The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. What is the side of a square? I) The area of a rectangle is 40 sq.cm. II) The difference between the length and breadth of the rectangle is 6 cm. III) The Perimeter of a square is equal to the perimeter of the rectangle. Correct Answer All statements are required

From statement I:

Area of a rectangle = 40 sq.cm

⇒ Length × breadth = 40

From statement II:

⇒ Length – breadth = 6

Solving statements I and II,

Length = 10 cm and breadth = 4 cm

⇒ Perimeter of a rectangle = 2(10 + 4) = 28 cm

From statement I, II, and III:

Perimeter of a square = 28 cm

⇒ Side of a square = 28/4 = 7 cm

∴ Using all three statements we can answer the question. 

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