This is a scale drawing of an actual shopping plaza. What percent of the shopping plaza is the coffee shop?

Start by finding the area of the entire shopping plaza on the map.
A scale map of a shopping plaza with dimensions 30 cm by 10 cm. Within the shopping plaza are a pharmacy and a coffee shop with dimensions 5 cm by 6 cm.
The area of the entire shopping plaza is
300
square cm.
You got it!
Next, find the area of the coffee shop on the map.
A scale map of a shopping plaza with dimensions 30 cm by 10 cm. Within the shopping plaza are a pharmacy and a coffee shop with dimensions 5 cm by 6 cm.
The area of the coffee shop is
square cm.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find the area of the coffee shop, we can use the formula for the area of a rectangle, which is:

\[ \text{Area} = \text{length} \times \text{width} \]

For the coffee shop, the dimensions are 5 cm by 6 cm:

\[ \text{Area of the coffee shop} = 5 , \text{cm} \times 6 , \text{cm} = 30 , \text{square cm} \]

So, the area of the coffee shop is 30 square cm.

Next, to find what percent of the shopping plaza is the coffee shop, we use the formula:

\[ \text{Percentage} = \left(\frac{\text{Area of the coffee shop}}{\text{Area of the entire shopping plaza}}\right) \times 100% \]

Now we can plug in the values we have:

\[ \text{Percentage} = \left(\frac{30 , \text{square cm}}{300 , \text{square cm}}\right) \times 100% \]

\[ \text{Percentage} = \left(0.1\right) \times 100% = 10% \]

Thus, 10% of the shopping plaza is the coffee shop.