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The question is followed by three statements I, II, and III. Read the question and the statements and choose your answer according to which set of the statement(s) is/are sufficient to answer the question. What is the perimeter of the rectangle? Statements 1. The area of the rectangle is 4200 m2. 2. The length and breadth of the rectangle are in ratio 7 : 3. 3. If the length of the rectangle is twice its breadth.

The question is followed by three statements I, II, and III. Read the question and the statements and choose your answer according to which set of the statement(s) is/are sufficient to answer the question. What is the perimeter of the rectangle? Statements 1. The area of the rectangle is 4200 m2. 2. The length and breadth of the rectangle are in ratio 7 : 3. 3. If the length of the rectangle is twice its breadth. Correct Answer (1 and 2) or (1 and 3)

Formula used:

Area of rectangle = Length × Breadth

Perimeter of rectangle = 2 × (Length + Breadth)

Calculation:

From statement 1

Area of rectangle = 4200 m2

From statement 2

Length : Breadth = 7 : 3

Let the length and breadth of the rectangle be 3x and 7x respectively.

⇒ Area = 7x × 3x

⇒ 4200 = 21x2 (From statement 1)

⇒ x2 = 200

⇒ x = 10√2

⇒ Length = 70√2 m and Breadth = 30√2 m

⇒ Perimeter = 2 × (70√2 + 30√2)

⇒ Perimeter = 200√2 m

From statement 3

Length = 2 × Breadth

⇒ L = 2B

Area = L × B

⇒ Area = 2B × B

⇒ 4200 = 2B2 (From statement 1)

⇒ B2 = 2100

⇒ B = 10√21 m

⇒ L = 20√21 m

Perimeter = 2 × (L + B)

⇒ Perimeter = 2 × (20√21 + 10√21)

⇒ Perimeter = 60√21 m

∴ Statement (1 and 2) or Statement (1 and 3) can answer the question

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