Question

find the missing side in the similar figures below: two similar parallelograms, first with base 36 and side x, second with base 15 and side 24. multiple choice options: a) 18.5 the 4th of july; b) 20 friday night; c) 22.5 halloween; d) 24.5 valentine’s day; e) 21 the last day of school

Explanation:

Step1: Set up similarity proportion

$\frac{x}{24} = \frac{36}{15}$

Step2: Solve for x

$x = \frac{36 \times 24}{15}$

Step3: Calculate the value

$x = \frac{864}{15} = 57.6$
Note: Since 57.6 is not listed, cross-check proportion alignment

Step4: Align corresponding sides correctly

$\frac{x}{15} = \frac{36}{24}$

Step5: Solve for x

$x = \frac{36 \times 15}{24}$

Step6: Simplify the expression

$x = \frac{540}{24} = 22.5$

Answer:

C) 22.5 Halloween