To find the area of the entire shopping plaza, you can use the formula for the area of a rectangle, which is:
\[ \text{Area} = \text{length} \times \text{width} \]
For the shopping plaza, the dimensions are 30 cm by 10 cm:
\[ \text{Area of shopping plaza} = 30 , \text{cm} \times 10 , \text{cm} = 300 , \text{square cm} \]
Next, calculate the area of the coffee shop, which has dimensions of 5 cm by 6 cm:
\[ \text{Area of coffee shop} = 5 , \text{cm} \times 6 , \text{cm} = 30 , \text{square cm} \]
Now, to find what percent of the shopping plaza is occupied by the coffee shop, use the formula:
\[ \text{Percentage} = \left( \frac{\text{Area of coffee shop}}{\text{Area of shopping plaza}} \right) \times 100 \]
Substituting the areas:
\[ \text{Percentage} = \left( \frac{30 , \text{square cm}}{300 , \text{square cm}} \right) \times 100 = 10% \]
So, the coffee shop occupies 10% of the shopping plaza.
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