Gloria is digging for fossils at a geological site. She has 120 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a rectangle using all the rope Gloria has with her?

Question

Landen Leon

Mathematics

27 June, 06:37

Gloria is digging for fossils at a geological site. She has 120 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a rectangle using all the rope Gloria has with her?

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Bronson Noble · Answer 1

There are a lot of solutions to this problem, so I'm only going to list 10. The only requirement is that the quadrilateral must be a rectangle with a perimeter of 120 meters.

1) 30, 30, 30, 30. I know that this is a square, but it should still be a solution since all squares are rectangles.

2) 50, 50, 10, 10.

3) 55, 55, 5, 5.

4) 45, 45, 15, 15.

5) 40, 40, 20, 20.

6) 35, 35, 25, 25.

7) 36, 36, 24, 24.

8) 18, 18, 52, 52.

9) 14, 14, 48, 48

10) 6, 6, 54, 54.