Matt's yard measures 24 feet by 30 feet. His garden, which is part of the yard, measures 3 feet by 9 feet. What is the area of the yard, not including the garden? Show your work.

To find the area of Matt's yard excluding the garden, follow these steps: 1. **Calculate the Area of the Entire Yard:** The yard is a rectangle with dimensions 24 feet by 30 feet. \[ \text{Area of Yard} = \text{Length} \times \text{Width} = 24 \, \text{ft} \times 30 \, \text{ft} = 720 \, \text{square feet} \] 2. **Calculate the Area of the Garden:** The garden is also a rectangle with dimensions 3 feet by 9 feet. \[ \text{Area of Garden} = \text{Length} \times \text{Width} = 3 \, \text{ft} \times 9 \, \text{ft} = 27 \, \text{square feet} \] 3. **Determine the Area of the Yard Excluding the Garden:** Subtract the area of the garden from the total area of the yard. \[ \text{Area of Yard (excluding garden)} = \text{Area of Yard} - \text{Area of Garden} = 720 \, \text{sq ft} - 27 \, \text{sq ft} = 693 \, \text{square feet} \] **Final Answer:** The area of Matt's yard, not including the garden, is **693 square feet**.