A scale drawing for an apartment is shown below.

Question

In the drawing, 2cm represents 5m.
Assuming the bedroom is rectangular, find the area of the real bedroom.

Answer 1

To find the area of the real bedroom based on the scale drawing, we first need the dimensions of the bedroom in the drawing. Since we don't have the drawing to refer to, let's assume we have the length and width of the bedroom as measured in the scale drawing.

1. Convert the Measurements: Since the scale states that 2 cm represents 5 m, we can find the conversion factor:

   \[ \frac{5 \text{ m}}{2 \text{ cm}} = 2.5 \text{ m/cm} \]

   This means that for every centimeter in the drawing, the actual dimension is 2.5 meters.

2. Example Measurements: Let's say the bedroom in the drawing measures:

   • Length = \( L_d \) cm
   • Width = \( W_d \) cm

   The real dimensions will be calculated as follows:

   • Real Length \( L_r = L_d \times 2.5 \text{ m} \)
   • Real Width \( W_r = W_d \times 2.5 \text{ m} \)

3. Calculate the Area: The area \( A \) of the rectangular bedroom in real life can be computed using the formula:

   \[ A = L_r \times W_r \]

   Substituting the expressions for real length and width:

   \[ A = (L_d \times 2.5) \times (W_d \times 2.5) = L_d \times W_d \times (2.5 \times 2.5) \]

   \[ A = L_d \times W_d \times 6.25 \]

4. Result: Therefore, if you provide the actual measurements from the scale drawing (in cm), I can help calculate the area based on those specifics. Otherwise, you can use the above method with your actual measurements to find the area of the real bedroom.

Feel free to provide the dimensions, and I'll assist you further!

Answer 2

what's the answer ??

Answer 3

To provide a specific numerical answer for the area of the real bedroom, I need the length and width of the bedroom as shown in the scale drawing, measured in centimeters.

However, I can show you how to calculate it if you have those dimensions. Let's walk through an example:

Example Measurements:

• Length in drawing (L_d): 4 cm
• Width in drawing (W_d): 3 cm

Step 1: Convert the Measurements

Using the scale where 2 cm represents 5 m:

\[ \text{Conversion Factor} = \frac{5 \text{ m}}{2 \text{ cm}} = 2.5 \text{ m/cm} \]

Step 2: Real Dimensions

Calculate the real dimensions:

• Real Length (L_r): \[ L_r = L_d \times 2.5 = 4 \text{ cm} \times 2.5 \text{ m/cm} = 10 \text{ m} \]

• Real Width (W_r): \[ W_r = W_d \times 2.5 = 3 \text{ cm} \times 2.5 \text{ m/cm} = 7.5 \text{ m} \]

Step 3: Calculate the Area

Now, calculate the area (A):

\[ A = L_r \times W_r = 10 \text{ m} \times 7.5 \text{ m} = 75 \text{ m}^2 \]

So if the bedroom dimensions in the drawing were 4 cm by 3 cm, the area of the real bedroom would be 75 square meters.

Please provide the actual lengths from your drawing, or use this method with your specific dimensions to find the area.

Answer 4

is that correct

Answer 5

Let me clarify the process and ensure that we arrive at the correct results based on given dimensions.

Since I don't have the specific dimensions of the bedroom in your scale drawing, I provided a general method to calculate the area of the bedroom based on sample dimensions (4 cm by 3 cm). Let’s summarize the steps, and if you share the specific measurements from your scale drawing, I can confirm the area correctly.

Steps to Calculate the Area

1. Understand the Scale:

   • The scale indicates that 2 cm corresponds to 5 m.
   • Thus, the conversion factor is \( 5 , \text{m} / 2 , \text{cm} = 2.5 , \text{m/cm} \).

2. Measure Dimensions:

   • Let's denote:
     • \( L_d \): Length of the bedroom in cm
     • \( W_d \): Width of the bedroom in cm

3. Convert to Real Dimensions:

   • Real Length \( L_r = L_d \times 2.5 , \text{m}\)
   • Real Width \( W_r = W_d \times 2.5 , \text{m}\)

4. Calculate the Area:

   • Area \( A \) in square meters is given by: \[ A = L_r \times W_r = (L_d \times 2.5) \times (W_d \times 2.5) = L_d \times W_d \times 6.25 \]

Example

If you were to provide specific measurements, the calculation would proceed as follows:

Assuming:

• Length in drawing \( L_d = 4 , \text{cm} \)
• Width in drawing \( W_d = 3 , \text{cm} \)

Then:

• \( L_r = 4 \times 2.5 = 10 , \text{m} \)
• \( W_r = 3 \times 2.5 = 7.5 , \text{m} \)
• Area \( A = 10 , \text{m} \times 7.5 , \text{m} = 75 , \text{m}^2 \)

Final Verification

To ensure accuracy, please provide the actual measurements (in cm) from your drawing, and I will confirm the area calculation for the real bedroom. Without those specifics, the answer (75 m²) is only a representation based on assumed dimensions.