Tory has two similar picture frames in her bathroom. the ratio of the larger picture frame to the smaller picture frame is 5: 2. if the perimeter of the smaller picture frame is 30 in, what is the perimeter of the bigger picture frame?

 75 inches

Step-by-step explanation:

Since, the ratio of the large picture frame and smaller picture frame =  5 : 2

Therefore, the ratio of the perimeter of the larger frame to smaller frame = 5: 2

Let the perimeter of the large picture frame = 5x

And, the perimeter of the smaller picture frame =  2x

Where x is any number,

According to the question,

2 x = 30

x = 15

Thus, the perimeter of the larger frame = 5x = 5 × 15 = 75 cm