The length of a rectangle is thrice its breath, and its perimeter is 112 meters. What is its area?

Question: The length of a rectangle is thrice its breath, and its perimeter is 112 meters. What is its area?

Solution:
Let the breath = x
So, the Length = 3x

Perimeter of a rectangle = 2 (Length + Breadth)
So, 2(3x + x) = 112
⇒ 6x + 2x = 112
⇒ 8x = 112
∴ x = 112/8 = 14

Now, Breadth = 14, so, length = 14 × 3 = 42

So, its area = Length × Breadth
= 42 × 14 = 588 sq. m.