Answer: The perimeter of the yellow rectangular tile is 240 centimeters.
Explanation: To find the answer, write this information as a proportion since we know that the rectangles are similar.
(Assume that in both ratios, the numerator is the length of the rectangle, and the denomiator is the perimeter. Also, the left side is for the green rectangle and the right side is for the yellow rectangle.)
Since we don’t know the perimeter of the yellow rectangle, let’s express it as x.
24/80 = 72/x
A good shortcut is to cross multiply. To do this, multiply the left numerator by the right denominator, and the left denominator by the right numerator, and set both products equal to each other.
24 • x = 80 • 72
Simplify the equation.
24x = 5760
Divide both sides by 24.
x = 240
Since x = 240, we know that the perimeter of the yellow rectangular tile is 240 centimeters.
