Suppose the dimensions of a rectangle with a perimeter of 22 inches are tripled. Find the perimeter of the new rectangle in inches.
Multiply by 3.
whats the answer ?
To find the perimeter of the new rectangle, we first need to determine the dimensions of the original rectangle.
Let's denote the length of the original rectangle as "L" and the width as "W".
Given that the perimeter of the original rectangle is 22 inches, we can write the equation:
Perimeter = 2 * (L + W)
Substituting the given value, we have:
22 = 2 * (L + W)
Dividing both sides of the equation by 2, we get:
11 = L + W
Since we don't have specific values for L and W, we can express the perimeter in terms of these variables as:
Perimeter = 2L + 2W
Now, we are asked to find the perimeter of the new rectangle, obtained by tripling the dimensions of the original rectangle.
The new length, denoted as "L_new", can be expressed as 3L, and the new width, denoted as "W_new", can be expressed as 3W.
The new perimeter, denoted as "P_new," can be computed using the formula:
P_new = 2L_new + 2W_new
Substituting the values, we have:
P_new = 2(3L) + 2(3W)
Simplifying the expression, we get:
P_new = 6L + 6W
Since we originally found that 11 = L + W, we can replace L + W with 11 in the above expression:
P_new = 6(11)
Calculating the value, we get:
P_new = 66 inches
Therefore, the perimeter of the new rectangle, obtained by tripling the dimensions of the original rectangle, is 66 inches.