# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-6/11

Exercises: Try Out - Set 6: Real exam simulation to sharpen your skills and build confidence. - Question 11

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## Exercise 11

### Question

export const metadata = {
    title: "Question 11",
    authors: [{ name: "Nabil Akbarazzima Fatih" }],
    date: "12/23/2025",
};

The ratio of a miniature of an object to its actual size is as follows. Miniature size : actual size = <InlineMath math="5 : 2500" /> If there is a rectangular object with an area of <InlineMath math="540\text{ m}^2" /> and a length of <InlineMath math="30\text{ m}" />, then the width of the miniature of the object is ... cm.


### Choices

- [ ] $$0.9$$
- [ ] $$1.9$$
- [ ] $$2.3$$
- [ ] $$2.6$$
- [x] $$3.6$$

### Answer & Explanation

export const metadata = {
  title: "Solution for Question 11",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/23/2025",
};

**Step 1**: Calculate the actual width of the object. Given the area of the rectangle is <InlineMath math="540\text{ m}^2" /> and the length is <InlineMath math="30\text{ m}" />.

<MathContainer>
  <BlockMath math="\text{Width} = \frac{\text{Area}}{\text{Length}}" />
  <BlockMath math="\text{Width} = \frac{540}{30} = 18\text{ m}" />
</MathContainer>

Convert to cm:

<MathContainer>
  <BlockMath math="18\text{ m} = 18 \times 100\text{ cm} = 1800\text{ cm}" />
</MathContainer>

**Step 2**: Calculate the width of the miniature using the given ratio. The ratio of miniature size to actual size is <InlineMath math="5 : 2500" /> or <InlineMath math="\frac{5}{2500}" />.

<MathContainer>
  <BlockMath math="\text{Miniature width} = \frac{5}{2500} \times \text{Actual width}" />
  <BlockMath math="\text{Miniature width} = \frac{5}{2500} \times 1800" />
  <BlockMath math="\text{Miniature width} = \frac{1}{500} \times 1800" />
  <BlockMath math="\text{Miniature width} = \frac{1800}{500}" />
  <BlockMath math="\text{Miniature width} = 3.6\text{ cm}" />
</MathContainer>

So, the width of the miniature object is <InlineMath math="3.6\text{ cm}" />.


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