The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?

Mensuration 12/03/2024

A. 1 : 96
B. 1 : 48
C. 1 : 84
D. 1 : 68

Let the length and the breadth of the rectangle be 4x cm and 3x respectively.

(4x)(3x) = 6912
12×2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12×2 = 1 : 4x = 1: 96.

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