Question

rachel wants to put mulch around her three raised flower beds, as shown in the figure below. each of the three rectangular beds is 3 feet in width and 4 feet in length. rachel needs to fill the 13 foot by 6 foot rectangular area around the beds with mulch to a depth of 3 inches. what volume of mulch does rachel need to buy? a. 10.5 cubic feet b. 19.5 cubic feet c. 42 cubic feet d. 126 cubic feet

Explanation:

Step1: Calculate total area

$\text{Total Area} = 13 \times 6 = 78$ square feet

Step2: Calculate area of 3 beds

$\text{Area of 1 bed} = 3 \times 4 = 12$ square feet
$\text{Total Bed Area} = 3 \times 12 = 36$ square feet

Step3: Calculate mulch area

$\text{Mulch Area} = 78 - 36 = 42$ square feet

Step4: Convert depth to feet

$3 \text{ inches} = \frac{3}{12} = 0.25$ feet

Step5: Calculate mulch volume

$\text{Volume} = 42 \times 0.25 = 10.5$ cubic feet

Answer:

A. 10.5 cubic feet