physical science

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.

Answers

Begin by constructing two perpendicular lines that bisect the 'L' shape - one should cut across the top-left and bottom-right corners (from 1 to 2) and the other should cut across the top-right and bottom-left corners (from 1 to 2). Then, connect the four resulting corner points to produce four equal squares of the same size and shape. In more detail: start by drawing a line between the points (1,1) and (2,2), creating two right-angled triangles. Then draw a line perpendicular to that line joining the points (1,2) and (2,1). This will create four small squares. Finally, connect the corner points of each of the small squares to produce four quadrilaterals with equal area and the same shape.

Answered by Jenny Thompson

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