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The length and breadth of a rectangle are (3a + 2) and (2a - 1). Which of the following represents its perimeter?
  • a)
    2(5a - 1)
  • b)
    (5a + 1)
  • c)
    (5a - 1)
  • d)
    2(5a + 1)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The length and breadth of a rectangle are (3a + 2) and (2a - 1). Which...
Perimeter = 2[3a + 2 + 2a - 1] = 2[5a + 1]
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The length and breadth of a rectangle are (3a + 2) and (2a - 1). Which...
Perimeter of a Rectangle

The perimeter of a rectangle is the total distance around the outside of the shape. It is calculated by adding the lengths of all the sides of the rectangle.

Given Information

Length of the rectangle = 3a + 2
Breadth of the rectangle = 2a - 1

Perimeter Formula

The formula for the perimeter of a rectangle is:
Perimeter = 2(length + breadth)

Calculating Perimeter

Substitute the given values of length and breadth into the formula for perimeter:

Perimeter = 2(3a + 2 + 2a - 1)

Simplify the expression inside the parentheses:

Perimeter = 2(5a + 1)

Distribute the 2 to both terms inside the parentheses:

Perimeter = 10a + 2

Thus, the correct option is (D) 2(5a - 1).
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The length and breadth of a rectangle are (3a + 2) and (2a - 1). Which of the following represents its perimeter?a)2(5a - 1)b)(5a + 1)c)(5a - 1)d)2(5a + 1)Correct answer is option 'D'. Can you explain this answer?
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