use the scale drawing to solve each problem. show your work. 1. what is the length of the kitchen? 2. what is the width of the living room? 3. what is the length of the dining room? 4. what is the length of the hall? what is the width of the hall? scale: $\frac{1}{4}$ inch = 1 foot

Question

Accepted Answer

### Problem 1: Length of the Kitchen
# Explanation:
## Step 1: Identify the length on the drawing
The length of the kitchen on the drawing is $ 3\frac{3}{4} $ inches.
## Step 2: Use the scale to convert to feet
The scale is $ \frac{1}{4} $ inch = 1 foot. To find the number of feet, we divide the length in inches by $ \frac{1}{4} $. First, convert $ 3\frac{3}{4} $ to an improper fraction: $ 3\frac{3}{4}=\frac{15}{4} $. Then, divide by $ \frac{1}{4} $: $ \frac{15}{4}\div\frac{1}{4}=\frac{15}{4}\times4 = 15 $.
# Answer:
15 feet

### Problem 2: Width of the Living Room
# Explanation:
## Step 1: Identify the width on the drawing
The width of the living room on the drawing is $ 2\frac{1}{2} $ inches.
## Step 2: Use the scale to convert to feet
Convert $ 2\frac{1}{2} $ to an improper fraction: $ 2\frac{1}{2}=\frac{5}{2} $. Divide by $ \frac{1}{4} $: $ \frac{5}{2}\div\frac{1}{4}=\frac{5}{2}\times4 = 10 $.
# Answer:
10 feet

### Problem 3: Length of the Dining Room
# Explanation:
## Step 1: Identify the length on the drawing
The length of the dining room on the drawing is $ 2\frac{1}{2} $ inches.
## Step 2: Use the scale to convert to feet
Convert $ 2\frac{1}{2} $ to $ \frac{5}{2} $. Divide by $ \frac{1}{4} $: $ \frac{5}{2}\div\frac{1}{4}=\frac{5}{2}\times4 = 10 $? Wait, no, wait. Wait, the length of the dining room on the drawing: looking at the diagram, the dining room's length (horizontal) is $ 2\frac{1}{2} $ inches? Wait, no, wait, the vertical? Wait, no, the living room's width: wait, the living room's width is $ 2\frac{1}{2} $ inches (vertical). Wait, no, let's re - check. The living room's width (the side with the length $ 3\frac{3}{4} $)? Wait, no, the problem is the width of the living room. The living room's width (vertical) is $ 2\frac{1}{2} $ inches. Wait, no, the scale is $ \frac{1}{4} $ inch = 1 foot. So $ 2\frac{1}{2} $ inches: $ 2\frac{1}{2}=\frac{5}{2} $. $ \frac{5}{2}\div\frac{1}{4}=\frac{5}{2}\times4 = 10 $. Wait, but let's do it again. $ 2\frac{1}{2} $ inches. Number of $ \frac{1}{4} $ inches in $ 2\frac{1}{2} $ inches: $ 2\frac{1}{2}\div\frac{1}{4}=\frac{5}{2}\times4 = 10 $. So the width is 10 feet? Wait, no, maybe I mixed up. Wait, the living room's width (the horizontal length is $ 3\frac{3}{4} $, the vertical width is $ 2\frac{1}{2} $). So the width (vertical) is $ 2\frac{1}{2} $ inches. So using the scale, $ \frac{1}{4} $ inch = 1 foot. So $ 2\frac{1}{2} $ inches is equal to $ 2\frac{1}{2}\div\frac{1}{4}=10 $ feet.
# Answer:
10 feet (Wait, maybe I made a mistake earlier. Let's confirm. The living room's width on the drawing is $ 2\frac{1}{2} $ inches. Scale: $ \frac{1}{4} $ inch = 1 foot. So the number of feet is $ 2\frac{1}{2}\div\frac{1}{4}=\frac{5}{2}\times4 = 10 $. So the width is 10 feet.

### Problem 3: Length of the Dining Room
# Explanation:
## Step 1: Identify the length on the drawing
The length of the dining room on the drawing is $ 2\frac{1}{2} $ inches (horizontal).
## Step 2: Use the scale to convert to feet
Convert $ 2\frac{1}{2} $ to $ \frac{5}{2} $. Divide by $ \frac{1}{4} $: $ \frac{5}{2}\div\frac{1}{4}=\frac{5}{2}\times4 = 10 $? Wait, no, wait the dining room's length (vertical) is $ 4\frac{1}{2}-2 = 2\frac{1}{2} $ inches? Wait, no, the diagram shows the dining room's vertical length is $ 4\frac{1}{2} $ inches? Wait, no, let's look at the diagram again. The dining room's horizontal length is $ 2\frac{1}{2} $ inches, and vertical length is $ 4\frac{1}{2} $ inches? Wait, the problem is "length of the dining room". Let's assume the length (horizontal) is $ 2\frac{1}{2} $ inches. Then, using the scale: $ 2\frac{1}{2}\div\frac{1}{4}=\frac{5}{2}\times4 = 10 $ feet? Wait, no, maybe the length is the vertical side? Wait, the dining room's vertical side is $ 4\frac{1}{2} $ inches? Wait, no, the kitchen's vertical side is 2 inches, living room's vertical side is $ 2\frac{1}{2} $ inches, and dining room's vertical side is $ 4\frac{1}{2} $ inches? Wait, no, the total vertical length is $ 4\frac{1}{2} $ inches. The kitchen is 2 inches, living room is $ 2\frac{1}{2} $ inches, and 2+$ 2\frac{1}{2} $=$ 4\frac{1}{2} $, so that's correct. But the dining room's length (horizontal) is $ 2\frac{1}{2} $ inches. So converting $ 2\frac{1}{2} $ inches to feet: $ 2\frac{1}{2}\div\frac{1}{4}=\frac{5}{2}\times4 = 10 $ feet. Wait, but let's do it properly. $ 2\frac{1}{2} $ inches is $ \frac{5}{2} $ inches. Divide by $ \frac{1}{4} $ inch per foot: $ \frac{5}{2}\div\frac{1}{4}=\frac{5}{2}\times4 = 10 $. So the length of the dining room is 10 feet? Wait, no, maybe I messed up the diagram. Let's re - examine the diagram. The dining room's horizontal length is $ 2\frac{1}{2} $ inches (as per the bottom labels: $ 3\frac{3}{4} $, $ 1\frac{3}{4} $, $ 2\frac{1}{2} $). So yes, $ 2\frac{1}{2} $ inches. So the length is 10 feet.
# Answer:
10 feet (Wait, maybe I made a mistake. Let's check the scale again. $ \frac{1}{4} $ inch = 1 foot. So 1 inch = 4 feet. So $ 2\frac{1}{2} $ inches is $ 2.5\times4 = 10 $ feet. Yes, that's correct.

### Problem 4: Length of the Hall
# Explanation:
## Step 1: Identify the length on the drawing
The length of the hall on the drawing is $ 1\frac{3}{4} $ inches.
## Step 2: Use the scale to convert to feet
Convert $ 1\frac{3}{4} $ to an improper fraction: $ 1\frac{3}{4}=\frac{7}{4} $. Divide by $ \frac{1}{4} $: $ \frac{7}{4}\div\frac{1}{4}=\frac{7}{4}\times4 = 7 $.
# Answer:
7 feet

### Problem 5: Width of the Hall
# Explanation:
## Step 1: Identify the width on the drawing
The width of the hall on the drawing is $ 2\frac{1}{2} $ inches (vertical) or $ 1\frac{3}{4} $ inches (horizontal)? Wait, the hall's vertical width: the total vertical length is $ 4\frac{1}{2} $ inches, kitchen is 2 inches, living room is $ 2\frac{1}{2} $ inches, and dining room is $ 4\frac{1}{2} $ inches. Wait, the hall is between living room and dining room, vertically. Wait, the hall's vertical width: the living room's vertical side is $ 2\frac{1}{2} $ inches, and the dining room's vertical side is $ 4\frac{1}{2} $ inches? No, the hall's vertical width is $ 4\frac{1}{2}-2 = 2\frac{1}{2} $ inches? Wait, no, the kitchen is 2 inches, living room is $ 2\frac{1}{2} $ inches, and 2+$ 2\frac{1}{2} $=$ 4\frac{1}{2} $, so the dining room's vertical side is $ 4\frac{1}{2} $ inches. The hall's vertical side: the laundry room is 2 inches (same as kitchen), hall is below laundry room. Wait, the laundry room's vertical side is 2 inches, hall's vertical side is $ 2\frac{1}{2} $ inches? Wait, the diagram: kitchen (2 in vertical), laundry room (2 in vertical? No, kitchen is 2 in, living room is $ 2\frac{1}{2} $ in, and total vertical is $ 4\frac{1}{2} $ in. So laundry room is 2 in (same as kitchen), hall is $ 2\frac{1}{2} $ in (same as living room). So the width of the hall (vertical) is $ 2\frac{1}{2} $ inches. Then, using the scale: $ 2\frac{1}{2}\div\frac{1}{4}=\frac{5}{2}\times4 = 10 $ feet? Wait, no, maybe the width is the horizontal side, which is $ 1\frac{3}{4} $ inches. Let's assume the width (horizontal) is $ 1\frac{3}{4} $ inches. Convert $ 1\frac{3}{4} $ to improper fraction: $ \frac{7}{4} $. Divide by $ \frac{1}{4} $: $ \frac{7}{4}\div\frac{1}{4}=\frac{7}{4}\times4 = 7 $ feet. Wait, the problem is "width of the hall". Let's check the diagram again. The hall's horizontal length is $ 1\frac{3}{4} $ inches (same as laundry room's horizontal length). So the width (if we consider the horizontal as length and vertical as width) or vice - versa. Let's assume the width (vertical) is $ 2\frac{1}{2} $ inches, then it's 10 feet, but if horizontal is $ 1\frac{3}{4} $ inches, it's 7 feet. Wait, the hall is between living room and dining room, so its horizontal length is $ 1\frac{3}{4} $ inches, and vertical width is $ 2\frac{1}{2} $ inches. The problem says "width of the hall", so maybe the vertical width is $ 2\frac{1}{2} $ inches. Then, converting: $ 2\frac{1}{2}\div\frac{1}{4}=10 $ feet. But let's confirm with the scale. $ 2\frac{1}{2} $ inches: number of $ \frac{1}{4} $ inches is $ 2\frac{1}{2}\times4 = 10 $, so 10 feet.
# Answer:
10 feet (assuming vertical width) or 7 feet (assuming horizontal width). But based on the diagram, the hall's vertical width is $ 2\frac{1}{2} $ inches, so 10 feet.

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QUESTION IMAGE

Question

Explanation:

Problem 1: Length of the Kitchen

Step 1: Identify the length on the drawing

Step 2: Use the scale to convert to feet

Step 1: Identify the width on the drawing

Step 2: Use the scale to convert to feet

Step 1: Identify the length on the drawing

Step 2: Use the scale to convert to feet

Answer:

Problem 2: Width of the Living Room