Area and Perimeter of 2D Shapes

I have been playing around with some ideas and questions on Area and Perimeter. I was looking at the changes to the perimeter when I doubled the length of one side and then looked at how it affected the area when a rectangle was enlarged. There is quite a difference in the difficulty of each question. Whilst I was looking at some of these ideas in Geogebra I thought about the idea of moving one vertex of a triangle, whilst maintaining the same area and what the possibilities were. I thought it might make an interesting question when looking at the area of a triangle. I usually start looking at the area of a triangle by using a prompt like the one below. I find it fascinating that moving one vertex of a triangle along the line parallel to the line joining the other two vertices always results in the same area. shaded-shapes

Screenshot 2020-08-07 at 00.05.09Screenshot 2020-08-07 at 00.05.16Screenshot 2020-08-06 at 23.52.24Screenshot 2020-08-06 at 23.52.17

Screenshot 2020-08-07 at 00.25.00Area and Perimeter of shape problems

Perimeter and Area of Irregular ShapesScreenshot 2020-08-10 at 22.52.59

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