I must divide a block-letter shaped L diagram of a piece of land into four lots that are the same size and shape. The perimeter has one number next to each of the 6 sides. The numbers are (clockwise, beginning at the top) 1, 1, 1, 1, 2, 2. Can you help me figure this out please? I tried for hours. Thank you.
Reasoning:
Total area=3
No. of figures=4
Size of each figure = 3/4
So,
try four L-shaped figures, of width .5,.5,.5,.5,1,1, and area=3/4.
The concave vertex of one of the small L-shaped figure coincides with the concave vertex of the large L-figure. The rest should be evident.
Basically, you chop off 1/4 from each of the three squares to make an L-shaped figure.
Of course! I can help you with that. The key to dividing the block-letter shaped L diagram into four lots of the same size and shape is to focus on the perimeter. By looking at the numbers next to each side, you can determine the lengths of the sides of the diagram.
Let's analyze the perimeter numbers you provided: 1, 1, 1, 1, 2, 2. It means that there are four sides with a length of 1 unit and two sides with a length of 2 units.
To evenly divide the L-shaped diagram into four lots, we need to find an arrangement in which the lengths of the sides can be divided into equal parts.
One possible solution is to place the two sides with a length of 2 units adjacent to each other, like this:
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In this arrangement, the perimeter sides with a length of 1 unit will be divided into four equal parts resulting in four lots of equal size and shape.
Now, draw lines across the diagram to divide each of the four equal parts. You can do this by drawing lines parallel to the sides with a length of 2 units, like this:
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By dividing the diagram into four equal parts, you have successfully divided the block-letter shaped L diagram into four lots that are the same size and shape.
I hope this explanation helps you understand how to solve your problem. Let me know if you have any further questions!