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Two Dimensional Figures

A) There is a new fire code that states that there must be 15 square feet of free space for every customer in the cafe. How many customers can be in the cafe?

B) The new Owner also wants to hang decorations straight across the sides of the tables and the drink station. How long do the decorations need to be?

Two Dimensional Figures A) There is a new fire code that states that there must be-example-1
User Bian
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1 Answer

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A) 137 customers allowed based on 15 sq ft per person.

B) Decorations need to be 11 feet long to reach across tables and drink station.

A) Customer Capacity:

Based on the image you've sent, here's how to determine the number of customers allowed in the cafe under the new fire code:

1. Calculate the total floor space:

First, identify the dimensions of each rectangular area. From the image, we can find:

Floor Space A: 190 feet x 11 feet = 2090 square feet

Table 1: 5 feet x 3 feet = 15 square feet

Table 2: 3 feet x 5 feet = 15 square feet

Drink Station D:** 3 feet x 4 feet = 12 square feet

2. Subtract the area occupied by furniture:

Subtract the areas of tables and the drink station from the total floor space:

2090 sq ft - 15 sq ft - 15 sq ft - 12 sq ft = 2058 sq ft

3. Divide the remaining space by the required area per customer:

Assuming 15 sq ft of free space per customer, divide the remaining space by 15:

2058 sq ft / 15 sq ft/customer = 137.2 customers

Therefore, under the new fire code, the cafe can accommodate approximately 137 customers.

B) Decoration Length:

1. Table 1: Measure the table's width from the image: 5 feet.

2. Table 2: Measure the table's width from the image: 3 feet.

3. Drink Station: Measure the drink station's width from the image: 3 feet.

4. Total decoration length: Add the widths of all three: 5 ft + 3 ft + 3 ft = 11 feet.

Therefore, the decorations need to be 11 feet long to reach across all the tables and the drink station.

User Ben Turner
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