Tory has two similar picture frames in her bathroom the ratio of the larger picture frame to the smaller picture is 5:2 if the perimeter of the smaller picture is 30 in what is the perimeter of the bigger picture frame
No
yes sir
To find the perimeter of the larger picture frame, we need to first find the length of the smaller picture frame.
Let's assume the length of the smaller picture frame is represented by "x". According to the given ratio, the length of the larger picture frame would be 5 times the length of the smaller picture frame, which is 5x.
We know that the perimeter of a rectangle is calculated by adding all four sides, so for the smaller picture frame, we have 2 sides of length x each. Therefore, the total perimeter of the smaller picture frame is 2x + 2x = 4x.
We are given that the perimeter of the smaller picture frame is 30 inches, so we can set up the equation:
4x = 30
To solve for x, divide both sides of the equation by 4:
x = 30 / 4
x = 7.5
Now that we know the length of the smaller picture frame (x = 7.5), we can calculate the length of the larger picture frame:
5x = 5 * 7.5 = 37.5
The length of the larger picture frame is 37.5 inches.
To find the perimeter of the larger picture frame, we add up all four sides:
2 * (37.5) + 2 * (7.5) = 75 + 15 = 90
Therefore, the perimeter of the larger picture frame is 90 inches.