What is the answer to the question on the screenshot?

 60 cm is the most reasonable length of the perimeter.

60.142857 cm is a more precise length of the perimeter.

61 cm is the perimeter using dimensions of 4¹/₆ by 6

Step-by-step explanation:

There are 6 rectangles with a total area of 150 cm²

The perimeter of the figure consists of 6 short sides and 6 long sides.

The area of an individual rectangle is 150/6= 25

With no exact dimensions given, but from the shape, it is evident that the dimensions are not 5 × 5. Taking the measurements (2.6 by 2.275 cm on my screen) and dividing them, it appears that the sides of the ratio of the side lengths is about  to 7:8 or 0.875

To determine side lengths of the small rectangles, assume that 2(L+w) must be close to 20.  4×6=24, 4+6=10.  5×5=25, 5+5=10. 5.5×4.6=25.3, 5.5+4.6=10.1

4.667/5.333 = 0.875

Using 4²/₃ and 5¹/₃ the perimeter would be 6(10) = 60cm

However, 25÷4²/₃ is actually 5⁵/₁₄ which is 5.357142857,  a bit more than 5.333. So the perimeter would be 60.142857

Alternatively, with slightly different measurements (screen distortion)

4¹/₆ (4.1667)  25 ÷ 4.1667 = 6   This set of side lengths results in a perimeter of 61 cm:  6(4.1667 + 6) = 6(10.1667)= 61 cm

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