El perimetro delcuadrado x es dos tercios del perimetro del cuadrado y. el ucadrado y es dos tercios del perimetro del cuadrado z. el area del cuadrado x es de 16 cm2 ¿cual es area del cuadrado z?

the question in English is

THE SQUARE PERIMETER X IS TWO THIRDS OF THE SQUARE PERIMETER Y. THE PERIMETER OF THE SQUARE Y IS TWO THIRDS OF THE PERIMETER OF THE SQUARE Z. THE AREA OF THE SQUARE X IS 16 CM2 WHAT IS THE AREA OF THE SQUARE Z?

Let

Px--------> the perimeter of square x

Py--------> the perimeter of square y

Pz--------> the perimeter of square z

Ax--------> the area of square x

Az--------> the area of square z

Step 1

Find the length side of the square x

we know that

-------> equation A

-------> equation B

so

Step 2

Find the perimeter of square x

substitute the value of x in the formula

Step 3

Find the perimeter of square y

use the equation A

solve for Py

substitute the value of Px

Step 4

Find the perimeter of square z

use the equation B

solve for Pz

substitute the value of Py

Step 5

Find the area of square z

we know that

the area of the square z is equal to

Find the length side of square z

so

substitute the value of z in the area's formula

therefore

the answer is

the area of the square z is

54

step-by-step explanation:

6x9