SOLUTION: I need help finding two different shapes with an area of 6 square units and a perimeter of 12 square units.

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Question 181230This question is from textbook connected mathematics covering and surrounding
: I need help finding two different shapes with an area of 6 square units and a perimeter of 12 square units. This question is from textbook connected mathematics covering and surrounding

Answer by tvandenberg(45)   (Show Source): You can put this solution on YOUR website!
Hard to explain where to get the answer from, but I'll try.

Lets start by using a rectangle. We know perimeter is:

And area is:

Some quick algebra gets you 2, 1.5. So a rectangle with sides 2 and 1.5.

For the next, let's assume a right triangle.


Not as easy, but conveniently I know that there is a 3-4-5 triangle, which adds to 12, and .
So, a 3-4-5 right triangle.


Sorry this didn't do a great job of explaining, but gets the answer!

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