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 70%. How many square feet will be the new flowerbed? Answer is rounded to the nearest tenth.

Question

*
1 point
59.5
24.5
10.5
45

Answer 1

To find the area of the current flowerbed, we can use the formula for the area of a rectangle:

\[ \text{Area} = \text{length} \times \text{width} \]

For Annie's current flowerbed:

\[ \text{Area} = 7 , \text{feet} \times 5 , \text{feet} = 35 , \text{square feet} \]

Annie would like to expand the area by 70%. To find out how much area that represents, we calculate 70% of the current area:

\[ 70% , \text{of the current area} = 0.70 \times 35 , \text{square feet} = 24.5 , \text{square feet} \]

Now, we add this amount to the original area to find the new area of the flowerbed:

\[ \text{New Area} = \text{Current Area} + \text{Increase} = 35 , \text{square feet} + 24.5 , \text{square feet} = 59.5 , \text{square feet} \]

Thus, the area of the new flowerbed is:

\[ \boxed{59.5} \]

This matches one of the answer choices.