Question

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.

Answer 1

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.