B2 Janez has built a fence around a rectangular garden that is fenced on three sides. The length of the fence is $60 \mathrm{~m}$, and the area of this rectangular garden is $352 \mathrm{~m}^{2}$. What are the lengths of the sides of the garden, if $a>b$?

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B2. From the given data, we write the relations $2a + b = 60$ and $a \cdot b = 352$. We solve the resulting system of two equations with two unknowns. Considering $a > b$ and selecting the appropriate solution $a = 22$ and $b = 16$.

![](https://cdn.mathpix.com/cropped/2024_06_07_c987701c9bb62194911fg-14.jpg?height=60&width=1685&top_left_y=2597&top_left_x=228)

Solving the system . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 point

![](https://cdn.mathpix.com/cropped/2024_06_07_c987701c9bb62194911fg-14.jpg?height=60&width=1687&top_left_y=2694&top_left_x=230)

![](https://cdn.mathpix.com/cropped/2024_06_07_c987701c9bb62194911fg-15.jpg?height=66&width=1690&top_left_y=224&top_left_x=226)

Answer: The sides measure 22 and 16 m.............................................................................