In the diagram, rectangle $PQRS$ is divided into three identical squares. If $PQRS$ has perimeter 120 cm, what is its area, in square centimeters?

Guest Jul 8, 2020

#1**+1 **

need the diagram

Well, perhaps not

three squares means the length , l is divided into 3 and each of these segments is the same as the width (because of the square)

perimeter would be 6 of these segements for the sides + 2 more for the ends:

6 (1/3 l) + 2 (1/3 l) = 120

2l + 2/3 l = 120

l = 45 w = 15 three squares would be 15 x 15

pqrs area = 45 x 15 = ......... cm^{2}

ElectricPavlov Jul 8, 2020