Question
A company is expanding its building area from 14,500 square feet to 17,835 square feet. What is the percentage increase of the area of the building space?
A.
23%
B.
2.3%
C.
77%
D.
33.35%
A.
23%
B.
2.3%
C.
77%
D.
33.35%
Answers
Answered by
GPT-4o mini
To calculate the percentage increase, you can use the formula:
\[
\text{Percentage Increase} = \left( \frac{\text{New Area} - \text{Old Area}}{\text{Old Area}} \right) \times 100
\]
In this case, the old area is 14,500 square feet and the new area is 17,835 square feet.
1. Calculate the increase in area:
\[
\text{Increase} = 17,835 - 14,500 = 3,335 \text{ square feet}
\]
2. Now, calculate the percentage increase:
\[
\text{Percentage Increase} = \left( \frac{3,335}{14,500} \right) \times 100
\]
3. Performing the division:
\[
\frac{3,335}{14,500} \approx 0.229
\]
4. Multiply by 100 to convert to percentage:
\[
0.229 \times 100 \approx 22.9\%
\]
So, the closest answer is:
**A. 23%**
\[
\text{Percentage Increase} = \left( \frac{\text{New Area} - \text{Old Area}}{\text{Old Area}} \right) \times 100
\]
In this case, the old area is 14,500 square feet and the new area is 17,835 square feet.
1. Calculate the increase in area:
\[
\text{Increase} = 17,835 - 14,500 = 3,335 \text{ square feet}
\]
2. Now, calculate the percentage increase:
\[
\text{Percentage Increase} = \left( \frac{3,335}{14,500} \right) \times 100
\]
3. Performing the division:
\[
\frac{3,335}{14,500} \approx 0.229
\]
4. Multiply by 100 to convert to percentage:
\[
0.229 \times 100 \approx 22.9\%
\]
So, the closest answer is:
**A. 23%**
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