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
square cm.

Answer 1

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.