Lexi Salzman has a large rectangular vegetable garden measuring 9 ft by 21 ft. An employee at the local nursery recommended putting down mulch 4 in. thick to prevent weeds from growing. Each bag of mulch covers 3 cubic feet. How many bags should Lexi purchase for her vegetable garden?

Question

Lexi Salzman has a large rectangular vegetable garden measuring 9 ft by 21 ft. An employee at the local nursery recommended putting down mulch 4 in. thick to prevent weeds from growing. Each bag of mulch covers 3 cubic feet. How many bags should Lexi purchase for her vegetable​ garden?

Lexi should purchase 
  
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GPT-4o mini · Answer

To determine how many bags of mulch Lexi needs to purchase, we'll first calculate the volume of mulch required for her garden.

Convert the thickness of the mulch from inches to feet:
- 4 inches = \( \frac{4}{12} \) feet = \( \frac{1}{3} \) feet.
Calculate the area of the garden:
- Area = length × width = 9 ft × 21 ft = 189 square feet.
Calculate the volume of mulch needed:
- Volume = area × thickness = 189 square feet × \( \frac{1}{3} \) ft = 63 cubic feet.
Determine how many bags of mulch are needed:
- Each bag covers 3 cubic feet.
- Number of bags = \( \frac{63 \text{ cubic feet}}{3 \text{ cubic feet/bag}} = 21 \text{ bags} \).

Therefore, Lexi should purchase 21 bags of mulch for her vegetable garden.

Lexi Salzman has a large rectangular vegetable garden measuring 9 ft by 21 ft. An employee at the local nursery recommended putting down mulch 4 in. thick to prevent weeds from growing. Each bag of mulch covers 3 cubic feet. How many bags should Lexi purchase for her vegetable​ garden?

Lexi Salzman has a large rectangular vegetable garden measuring 9 ft by 21 ft. An employee at the local nursery recommended putting down mulch 4 in. thick to prevent weeds from growing. Each bag of mulch covers 3 cubic feet. How many bags should Lexi purchase for her vegetable garden?