Answer: 60 cm is the most reasonable length of the perimeter.
60.142857 cm is a more precise length of the perimeter.
<em>61 cm is the perimeter using dimensions of 4¹/₆ by 6</em>
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
<em>Alternatively, with slightly different measurements (screen distortion)</em>
<em> 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</em>
