To determine the ratio of the perimeters of the larger figure to the smaller figure, divide the perimeter of the larger figure by the perimeter of the smaller figure.
Let's represent the perimeters of the larger and smaller figures as follows:
- Perimeter of the larger figure: \( P_{\text{large}} = 32 \)
- Perimeter of the smaller figure: \( P_{\text{small}} = 26 \)
The ratio \( R \) can be calculated as:
\[ R = \frac{P_{\text{large}}}{P_{\text{small}}} = \frac{32}{26} \]
To simplify this ratio, divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 32 and 26 is 2. Therefore:
\[ \frac{32 \div 2}{26 \div 2} = \frac{16}{13} \]
Thus, the simplified ratio of the perimeters of the larger figure to the smaller figure is \( \frac{16}{13} \).
8. What is the ratio of the perimeters of the larger figure 32 to the smaller figure26?
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1 answer