Question

his 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
square cm.

Answer 1

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%**.