Question

Starting with a square whose perimeter is 36, I from a rectangle by doubling the length of two of the sides and tripling the length of the other two sides. This rectangle's perimeter is

Answer 1

Let's start by finding the length of each side of the square.

If the perimeter of the square is 36, then each side has length:

36 / 4 = 9

To form the rectangle, we double the length of two of the sides and triple the length of the other two sides. Let's double the length of two opposite sides:

2(9) = 18

And let's triple the length of the remaining two sides:

3(9) = 27

The perimeter of the rectangle is the sum of the lengths of all four sides:

Perimeter = 2(18) + 2(27)

Perimeter = 36 + 54

Perimeter = 90

Therefore, the perimeter of the rectangle is 90.