Date modified: Mon 2023-09-18 . 09:01 AM
Date created: Sat 2023-10-07 . 09:02 PM
# Maddening square gardens. Consider the following square gardens, each with some walk path inside the garden. In gardens B, and C, the paths **only make right angle turns**. The length of each segment of the paths are given below. In garden D, only the marked angle is known. And in garden E, we are only given the lengths of those straight paths from the three corners that meet at a common point. What are the **dimensions** of each of the square gardens? Can you tell which garden is the largest, and which one is the smallest? Find their dimensions and areas in **exact expression**, in addition to any decimal approximations you make. ![[1 teaching/summer program 2023/puzzles-and-problems/---files/garden-areas 2023-08-14 07.18.37.excalidraw.svg]] %%[[1 teaching/summer program 2023/puzzles-and-problems/---files/garden-areas 2023-08-14 07.18.37.excalidraw|🖋 Edit in Excalidraw]], and the [[summer program 2023/puzzles-and-problems/---files/garden-areas 2023-08-14 07.18.37.excalidraw.dark.svg|dark exported image]]%%