What will it cost to tile a rectangular floor measuring 289 feet by by 41 feet if the tile costs $14 per square foot? A. $344 B. $165,886 OC. $9,240 D. $11.849
What will it cost to tile a rectangular floor measuring 289 feet by by 41 feet if the tile costs $14 per square foot? A. $344 B. $165,886 OC. $9,240 D. $11.849
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![**Question:**
What will it cost to tile a rectangular floor measuring 289 feet by 41 feet if the tile costs $14 per square foot?
**Options:**
A. $344
B. $165,886
C. $9,240
D. $11,849
---
**Analysis:**
To solve this problem, calculate the total area of the floor and then multiply by the cost per square foot.
1. **Calculate Area:**
\[
\text{Area} = \text{Length} \times \text{Width} = 289 \, \text{feet} \times 41 \, \text{feet} = 11,849 \, \text{square feet}
\]
2. **Calculate Cost:**
\[
\text{Cost} = \text{Area} \times \text{Cost per square foot} = 11,849 \, \text{square feet} \times \$14/\text{square foot} = \$165,886
\]
Thus, the correct answer is **B. $165,886.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8a8da77-9f04-4511-b9d9-b7e746f1af1d%2Feac40739-d16e-4d54-a258-b83e43e51907%2Fdkzmucf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
What will it cost to tile a rectangular floor measuring 289 feet by 41 feet if the tile costs $14 per square foot?
**Options:**
A. $344
B. $165,886
C. $9,240
D. $11,849
---
**Analysis:**
To solve this problem, calculate the total area of the floor and then multiply by the cost per square foot.
1. **Calculate Area:**
\[
\text{Area} = \text{Length} \times \text{Width} = 289 \, \text{feet} \times 41 \, \text{feet} = 11,849 \, \text{square feet}
\]
2. **Calculate Cost:**
\[
\text{Cost} = \text{Area} \times \text{Cost per square foot} = 11,849 \, \text{square feet} \times \$14/\text{square foot} = \$165,886
\]
Thus, the correct answer is **B. $165,886.**
Expert Solution
Step 1
Given query is to find the cost to tile the floor.
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