**Problem Statement:** Kate is putting carpet in the family room and hallway. A diagram of the two rooms is shown below. **Diagram Description:** - The family room is a rectangle measuring 24 feet by 15.5 feet. - The hallway adjacent to the family room is a rectangle measuring 15.5 feet by 4 feet. **Question:** If the cost to purchase and install carpet is $4 per square foot, how much will it cost to put carpet in the family room and hallway? **Options:** A. $1,336 B. $1,584 C. $1,736 D. $1,888

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Problem Statement:**

Kate is putting carpet in the family room and hallway. A diagram of the two rooms is shown below.

**Diagram Description:**
- The family room is a rectangle measuring 24 feet by 15.5 feet.
- The hallway adjacent to the family room is a rectangle measuring 15.5 feet by 4 feet.

**Question:**

If the cost to purchase and install carpet is $4 per square foot, how much will it cost to put carpet in the family room and hallway?

**Options:**

A. $1,336  
B. $1,584  
C. $1,736  
D. $1,888
Transcribed Image Text:**Problem Statement:** Kate is putting carpet in the family room and hallway. A diagram of the two rooms is shown below. **Diagram Description:** - The family room is a rectangle measuring 24 feet by 15.5 feet. - The hallway adjacent to the family room is a rectangle measuring 15.5 feet by 4 feet. **Question:** If the cost to purchase and install carpet is $4 per square foot, how much will it cost to put carpet in the family room and hallway? **Options:** A. $1,336 B. $1,584 C. $1,736 D. $1,888
Expert Solution
Step 1

Given, 

Kate is putting carpet in the family room and hallway.

The family room is 24 feet wide and 15.5ft long and Hallway is 15.5 ft wide and 4 ft long.

If the cost to purchase and install a carpet is $4 per square foot,

To calculate, How much will it cost to put carpet in the family room and hallway?

First, we need to find the area of the family room and hallway.

steps

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