NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - Problems and Solutions
Question 93

Question. 93

Perimeter of a rectangle is found by using the formula P = 2 ( l + w), where l and w are respectively the length and breadth of the rectangle. Write the rule that is expressed by this formula in words.

Answer:

The perimeter of a rectangle is twice the sum of its length and breadth.

Detailed Answer with Explanation:

  1. Perimeter means the total distance around a shape — we add all its sides.

  2. A rectangle has two lengths and two widths.

    So, perimeter is:

    [ l + l + w + w ]

  3. Group one length and one width together:

    [ (l + w) + (l + w) ]

  4. Adding the same group twice is the same as multiplying by 2:

    [ 2 imes (l + w) ]

  5. Therefore, the formula for the perimeter is:

    [ P = 2(l + w) ]

In words: The perimeter of a rectangle is twice the sum of its length and width.

Quick example (optional):

If (l = 5) cm and (w = 3) cm, then

[ l + w = 5 + 3 = 8 ] [ P = 2 imes 8 = 16 ext{cm} ]
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