rectangular cake pans x and y are similar. the ratio of the width of pan x to the width of pan y is 3:5. the length of pan x is 12 inches and its width is 6 inches. what is the perimeter if pan y?
3/5 = 12/L.
3L = 60.
L = 60/3 = 20 In = Length of y.
3/5 = 6/W.
3w = 30.
W = 10 In. = Width of y.
P = 2W + 2L = 2*10 + 2*20 = 60 In. = Perimeter of y.
thanks
To find the perimeter of pan y, we need to determine its length and width.
Given that pans x and y are similar, we can set up a proportion based on the ratio of their widths:
width of pan x / width of pan y = 3/5
Let's denote the width of pan y as "w". The proportion can be written as:
6 inches / w = 3/5
To solve for "w", we cross-multiply and then solve for "w":
5 * 6 inches = 3 * w
30 inches = 3w
w = 30 inches / 3
w = 10 inches
Now we know that the width of pan y is 10 inches.
The length of pan y can be found using the similarity of the two pans. Since the ratio of their widths is 3:5, the ratio of their lengths will also be 3:5. Therefore,
length of pan x / length of pan y = 3/5
We are given that the width of pan x is 12 inches. Plugging in the values into the proportion:
12 inches / length of pan y = 3/5
To solve for the length of pan y, we cross-multiply and then solve for it:
5 * 12 inches = 3 * length of pan y
60 inches = 3 * length of pan y
length of pan y = 60 inches / 3
length of pan y = 20 inches
Now we know that the length of pan y is 20 inches.
To calculate the perimeter of pan y, we use the formula:
Perimeter = 2 * (length + width)
Perimeter = 2 * (20 inches + 10 inches)
Perimeter = 2 * 30 inches
Perimeter = 60 inches
Therefore, the perimeter of pan y is 60 inches.