Question

there are two rectangles. the larger rectangle has a length of 32 cm and a width of 16 cm. the smaller rectangle has a length of 22 cm and a width of x. we need to find the value of x (it is assumed that the two rectangles are similar, so the ratios of corresponding sides are equal).

Explanation:

Step1: Set up proportion for similar figures

$\frac{x}{16} = \frac{22}{32}$

Step2: Simplify the right-hand fraction

$\frac{22}{32} = \frac{11}{16}$

Step3: Solve for x by cross-multiplying

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

Answer:

$11$ cm