Question

Length of a rectangle is three less than two times its breadth. If the perimeter of the rectangle is 66 cm, find the length and breadth of the rectangle respectively.

• A. 21 cm and 16 cm
• B. 15 cm and 12 cm
• C. 21 cm and 12 cm
• D. 12 cm and 20 cm

Answer 1

The correct option is C 21 cm and 12 cm

Let the breadth of the rectangle = x
Length of the rectangle = 2x - 3

Perimeter of the rectangle = 2(Length + Breadth)
66 = 2(2x - 3 + x)
66 = 2(3x - 3)
Divide both the sides by 2
33 = 3x - 3
Transfer -3 to the left side
36 = 3x
​​​​​​​Divide both the sides by 3
x = 12
Breadth of the rectangle = 12 cm
Length of the rectangle = 2(12) - 3 = 21 cm.