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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 area of a rectangle? I) The area of a circle is 154 sq.cm II) The circumference of a circle is equal to the perimeter of the rectangle. III) The length of the rectangle is half of the breadth 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 area of a rectangle? I) The area of a circle is 154 sq.cm II) The circumference of a circle is equal to the perimeter of the rectangle. III) The length of the rectangle is half of the breadth of the rectangle. Correct Answer All statements are required

From statement I, II, and III:

Area of a circle = 154 sq.cm

⇒ Radius of a circle = 7 cm

Circumference of a circle = 2 × 22/7 × 7 = 44 cm

⇒ Perimeter of a rectangle = 44cm

2(length + breadth) = 44

⇒ Length + breadth = 22

Length of rectangle = (breadth of rectangle)/2

⇒ Length of a rectangle = 22/3 cm

⇒ Breadth of a rectangle = 44/3 cm

Area of a rectangle = 22/3 × 44/3 = 968/9 sq.cm

∴ Using all three statements we can answer the question. 

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