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.
The perimeter of a rectangle is twice the sum of its length and breadth.
Perimeter means the total distance around a shape — we add all its sides.
A rectangle has two lengths and two widths.
So, perimeter is:
[ l + l + w + w ]Group one length and one width together:
[ (l + w) + (l + w) ]Adding the same group twice is the same as multiplying by 2:
[ 2 imes (l + w) ]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} ]