Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

prealgebra intermediate

Problem

The square shown is divided into 4 congruent rectangles. If the perimeter of the square is 144 units, what is the perimeter of one of the four congruent rectangles?
problem
Solution
Problem 5. Let's call the side length of the square . This makes the perimeter of the square , which we know is 144 units. Solving for , we get . We also can say that the perimeter of each rectangle is . Since we found that , we know that the perimeter of each rectangle is .
Final answer
90\text{ units}