I was given a diagram in the shape of an "L"-looks like a block letter L--around the perimeter are the numbers 2, 1, 1, 1, 1, and 2. It says divide this diagram of a piece of land into four lots that are the same size and shape. I have been trying since after school, and can't figure it out. Can you help? Thank you.
Of course, I'd be happy to help! Solving this problem involves dividing the "L" shaped diagram into four equal-sized lots. Here's a step-by-step approach on how you can do that:
1. Start by focusing on the longer side of the "L" shape, which has two units. Divide it evenly into four sections. Each section should be 1/2 unit in length. Draw horizontal lines inside this longer side to mark the divisions.
2. Next, consider the shorter side of the "L" shape. It consists of four units in total: 1 unit on the top and 3 units on the bottom. Since we want to divide it into four lots of the same size, we need to divide it by 4. To make the math easier, we can represent the shorter side as 2 units + 2 units. Draw vertical lines inside the shorter side to mark the divisions, creating two equal sections of 2 units each.
3. At this point, you should have divided the longer side into four equal 1/2 unit sections and the shorter side into two equal 2-unit sections.
4. Now, the intersection of the horizontal and vertical lines will form the corners of your four lots. Connect these points to create the boundaries of each lot.
Once you complete these steps, you will have divided the "L" shaped diagram into four equal lots. Remember to double-check the measurements and ensure that each lot is the same size and shape.