A rectangle has a length to breadth ratio of 4:3, and its area measures 6912 square centimeters. What is the ratio of the breadth to the area of this rectangle?

Explanation

Let the length be 4x cm and the breadth be 3x cm. The area is length × breadth = 4x × 3x = 12x² = 6912. Solving for x² gives x² = 6912 ÷ 12 = 576, so x = 24. The breadth is 3x = 72 cm. The ratio of breadth to area is 72 : 6912, which simplifies to 1 : 96.