To find the area of the entire shopping plaza on the map, you can use the formula for the area of a rectangle, which is length multiplied by width.
Given the dimensions of the shopping plaza:
- Length = 30 cm
- Width = 10 cm
So, the area of the shopping plaza is calculated as follows:
\[ \text{Area of shopping plaza} = \text{Length} \times \text{Width} = 30 , \text{cm} \times 10 , \text{cm} = 300 , \text{square cm} \]
Now, let's find the area of the coffee shop. The dimensions of the coffee shop are:
- Length = 5 cm
- Width = 6 cm
Using the same formula for the area:
\[ \text{Area of coffee shop} = \text{Length} \times \text{Width} = 5 , \text{cm} \times 6 , \text{cm} = 30 , \text{square cm} \]
Next, to find the percentage of the shopping plaza that is occupied by the coffee shop, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Area of coffee shop}}{\text{Area of shopping plaza}} \right) \times 100 \]
Substituting the areas we calculated:
\[ \text{Percentage} = \left( \frac{30 , \text{square cm}}{300 , \text{square cm}} \right) \times 100 = 10% \]
Therefore, the area of the entire shopping plaza is 300 square cm, and the percentage of the shopping plaza that is the coffee shop is 10%.
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