The ratio of the perimeters of two rectangles is 4 to 7. the perimeter of the larger rectangle is 42 inches. what is the perimeter of the smaller rectangle?

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Ratio of the perimeter of two rectangles = 4:7
Perimeter of the larger rectangle = 42 inches
Let us assume the common ratio = x
Then
7x = 42
x = 42/7
   = 6
Then
Perimeter of the smaller rectangle = 4 * 6 inches
                                                         = 24 inches.
So the perimeter of the smaller rectangle is 24 inches. I hope the procedure and the answer is clear enough for you to understand. Based on this procedure, you can attempt similar problems without requiring any outside help.

Move the decimal behind it