Question

The length of a rectangle is 8 cm more than its breadth. If the perimeter of the rectangle is 68 cm, then its length and breadth is

• A. 21 cm, 13 cm
• B. 20 cm, 10 cm
• C. 30 cm, 20 cm
• D. 25 cm, 15 cm

Hint:

For rectangle problems, use the perimeter formula \(2 \times (L + B)\) and solve for the unknowns.

Answer 1

The Correct Option is B

Let the breadth be \(x\) cm. Then the length is \(x + 8\) cm. The perimeter of a rectangle is given by: \[ \text{Perimeter} = 2 \times (\text{Length} + \text{Breadth}) = 68 \] Substitute the values: \[ 2 \times ((x + 8) + x) = 68 \quad \Rightarrow \quad 2 \times (2x + 8) = 68 \quad \Rightarrow \quad 2x + 8 = 34 \quad \Rightarrow \quad 2x = 26 \quad \Rightarrow \quad x = 13 \] Thus, the length is \(x + 8 = 21\) cm and the breadth is 13 cm.