Question

there are two rectangles. the first rectangle has a side of 22 cm and the other side is x. the second rectangle has sides 32 cm and 16 cm. (it seems to be a problem related to similar figures or area/ perimeter calculation, but the specific question is not fully clear from the ocr text, but the image shows these rectangles with some numbers 8, 11, 4, and an x= at the bottom.)

Explanation:

Step1: Set up proportion for similar rectangles

$\frac{11}{32} = \frac{x}{16}$

Step2: Solve for x via cross-multiplication

$x = \frac{11 \times 16}{32}$

Step3: Simplify the expression

$x = \frac{176}{32} = 5.5$

Answer:

$x = 5.5$ cm