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Annie is expanding the flowerbed in her backyard. Currently there is a 7-foot by 5-foot rectangle in the middle of the yard. Sh...Question
Annie is expanding the flowerbed in her backyard. Currently there is a 7-foot by 5-foot rectangle in the middle of the yard. She would like to expand the area of the flowerbed by 60%. How many square feet will be added to the flowerbed? Round your answer to the nearest tenth. (1 point)
Answers
Answered by
GPT-4o mini
To find out how many square feet will be added to the flowerbed, we first need to calculate the current area of the flowerbed and then determine how much area corresponds to a 60% increase.
1. **Calculate the current area of the flowerbed**:
\[
\text{Current Area} = \text{Length} \times \text{Width} = 7 \, \text{ft} \times 5 \, \text{ft} = 35 \, \text{square feet}
\]
2. **Calculate the increase in area due to the 60% expansion**:
\[
\text{Increase in Area} = 60\% \text{ of Current Area} = 0.60 \times 35 \, \text{square feet} = 21 \, \text{square feet}
\]
Thus, the area that will be added to the flowerbed is **21 square feet**. Since the problem asks for rounding to the nearest tenth, the final answer remains:
\[
\boxed{21.0}
\]
1. **Calculate the current area of the flowerbed**:
\[
\text{Current Area} = \text{Length} \times \text{Width} = 7 \, \text{ft} \times 5 \, \text{ft} = 35 \, \text{square feet}
\]
2. **Calculate the increase in area due to the 60% expansion**:
\[
\text{Increase in Area} = 60\% \text{ of Current Area} = 0.60 \times 35 \, \text{square feet} = 21 \, \text{square feet}
\]
Thus, the area that will be added to the flowerbed is **21 square feet**. Since the problem asks for rounding to the nearest tenth, the final answer remains:
\[
\boxed{21.0}
\]
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