\( 1 \leftarrow \begin{array}{l}\text { Mr. Hershman has purchased a farm that is in the shape of a rectangle. The dimensions of the plece of land are } 1.3 \mathrm{~km} \text { by } 3.54 \mathrm{~km} \text {. How many square kilometers did he buy, and how many hecta } \\ \text { did he purchase? } \\ \text { How many square kilometers of land did he purchase? } \\ \mathrm{km}^{2}\end{array} \)

To determine the area of Mr. Hershman's farm in both square kilometers and hectares, follow these steps: ### 1. Calculate the Area in Square Kilometers (km²) The farm is rectangular, so the area \( A \) can be calculated using the formula: \[ A = \text{Length} \times \text{Width} \] Given: - **Length** = 1.3 km - **Width** = 3.54 km \[ A = 1.3\, \text{km} \times 3.54\, \text{km} = 4.602\, \text{km}^2 \] **Area in square kilometers:** **4.602 km²** ### 2. Convert Square Kilometers to Hectares 1 square kilometer is equal to 100 hectares. To convert the area from square kilometers to hectares: \[ \text{Area in hectares} = \text{Area in km}^2 \times 100 \] \[ \text{Area in hectares} = 4.602\, \text{km}^2 \times 100 = 460.2\, \text{hectares} \] **Area in hectares:** **460.2 hectares** ### **Summary** - **Square Kilometers:** 4.602 km² - **Hectares:** 460.2 hectares Mr. Hershman purchased **4.602 square kilometers** of land, which is equivalent to **460.2 hectares**.