Question

Um quadrado possui lado de tamanho 3y e um losango possui lado do tamanho x+2. Sabendo que y é igual à metade de x e que o perímetro do losango é o dobro do perímetro do quadrado, os valores de x e y são

Answer 1

The value of x = 1 unit and y = 0.5 unit.

Explanation:

A square has a side size 3y and a diamond has a side size x+2. Knowing that y is equal to half of x and that the perimeter of the diamond is twice the perimeter of the square, the values ​​of x and y are

Side of square = 3 y

side of diamond = x + 2

y = x/2

x = 2 y

Perimeter of diamond = 2 x perimeter of square

4 (x + 2) = 2 x 4 x 3 y

4 ( 2 y + 2) = 24 y

8 y + 8 = 24 y

16 y = 8

y = 0.5

x = 1

So, the value of x = 1 unit and y = 0.5 unit.