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 answer

First, we need to calculate the current area of the flowerbed. The area of a rectangle is given by the formula:

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

For Annie's flowerbed, the dimensions are 7 feet and 5 feet, so:

\[ \text{Current Area} = 7 , \text{ft} \times 5 , \text{ft} = 35 , \text{ft}^2 \]

Next, Annie wants to expand the area by 60%. To find 60% of the current area, we can calculate:

\[ 0.60 \times 35 , \text{ft}^2 = 21 , \text{ft}^2 \]

Thus, the area that will be added to the flowerbed is:

\[ \text{Area to be added} = 21 , \text{ft}^2 \]

Finally, when rounding to the nearest tenth, the answer is:

\[ \boxed{21.0} , \text{ft}^2 \]