The difference between the length and breadth of a rectangle is 25 meters. If the perimeter of this rectangle is 210 meters, what is its area?
Answer & explanation
Correct answer: option 3
Given:
- $L - B = 25$
- Perimeter = $210\text{ m}$
Perimeter of a rectangle:
$2(L + B) = 210$
$L + B = 105$
Now solve:
$L + B = 105$
$L - B = 25$
Adding the equations:
$2L = 130$
$L = 65$
Then,
$B = 105 - 65 = 40$
Area of the rectangle:
$\text{Area} = L \times B = 65 \times 40 = 2600\text{ m}^2$