Asquare with the area of 18 cm^2 is placed beside a square with area 28 cm^2 write a simplified expression for the perimeter of the shape.

the answer should be : 6√2+8√7cm

, i cannot figure out the answer.

The answer to your question is: 12√2 + 8√7 cm

Step-by-step explanation:

I hope this helps you, it´s a slightly different from your

Small square = 18 cm²

Big square = 28 cm²

First, find the lenght of the sizes

side small triangle = √18

side of big triangle = √28

Find the prime factors:

      18    2                28   2

       9    3                 14   2

       3    3                   7  7      

        1                          1

Then:

          18 = 2 x 3²         28 = 2² x 7

√18 = 3√2                   √28 = 2√7

Perimeter = 4 sides

                = Perimeter of the small square + perimeter big square

               = 4(3√2) + 4(2√7)

              = 12√2 + 8√7 cm