Question

The ratio compounded of 4 : 9 and the duplicate ratio of 3 : 4 is​

Answer 1

The compounded ratio of 4:9 and the duplicate ratio of 3:4 is 36 : 144.

Step-by-step explanation:

A duplicate ratio is written as x : y=x^{2} : y^{2}x

2

:y

2

Duplicate ratio of the given ratio 3:4 = 3^{2} : 4^{2}=9 : 163

2

:4

2

=9:16

The product or multiplication of two or more ratios is called as compounded ratio. For example: The compounded ratio of d:e and f:g is df:eg.

The Compounded Ratio of 4:9 and 9:16 = (4x9) : (9x16) = 36 : 144

Hence, the compounded ratio of 4:9 and the duplicate ratio of 3:4 = 36 : 144