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)

Explanation:

Step1: Calculate the current area of the flowerbed

The area of a rectangle is calculated by the formula \(A = l\times w\). Given the length \(l = 7\) feet and the width \(w = 5\) feet.

$$A_{current}=7\times5 = 35$$

square feet.

Step2: Calculate the expanded area of the flowerbed

If the current area is \(35\) square feet and it is expanded by \(60\%\), then the expanded area \(A_{expanded}\) is calculated as \(A_{expanded}=A_{current}(1 + 0.6)\).

$$A_{expanded}=35\times(1 + 0.6)=35\times1.6 = 56$$

square feet.

Step3: Calculate the added - area

The added - area \(A_{added}=A_{expanded}-A_{current}\)

$$A_{added}=56 - 35=21$$

square feet.

Answer:

\(21.0\) square feet.