if a rectangle has a perimeter of 65 and the ratio is 2:5 what is the perimeter of the smaller rectangle?

65/5=13
13x2=26 is that the answer or am I missing a step.

Perimeters are in the same ratios as the sides. You are unclear which rectangle is which, but I am assuming the larger one has perimeter 65, so the smaller one has perimeter

65 * 2/5 = 26

You are correct.

You have correctly calculated the value of one side of the smaller rectangle. However, the perimeter of a rectangle is the sum of all its sides, not just one side.

Since the ratio between the two rectangles is 2:5, we can find the ratio between their perimeters as well. The perimeter of the smaller rectangle can be found by multiplying the ratio (2) by the perimeter of the larger rectangle (65) divided by the sum of the ratio (2 + 5).

So, the perimeter of the smaller rectangle is calculated as follows:

Perimeter of smaller rectangle = (2 / (2 + 5)) * Perimeter of larger rectangle
= (2 / 7) * 65
= 2 * 65 / 7
= 130 / 7

Therefore, the perimeter of the smaller rectangle is approximately 18.57.