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? 12 m × 10 m 50 m × 10 m 60 m × 60 m 45 m × 10 m

50 m × 10 m

Step-by-step explanation:

There is a total of 120 meters of rope.  This is the distance around, so this is perimeter.

Perimeter is found by adding together the lengths of all sides of a figure.  This means all 4 sides added together must make 120.

For our first choice, 12 by 10, we would have two sides that are equal to 12 and 2 sides that are equal to 10.  This gives us a perimeter of

12+12+10+10 = 44

This is not 120, so this is not the correct choice.

For the second choice, 50 by 10, we have two sides that are equal to 50 and 2 sides that are equal to 10.  This gives us a perimeter of

50+50+10+10 = 120

This is the correct choice.

For the third choice, 60 by 60, we have all four sides equal to 60.  This gives us a perimeter of

60+60+60+60 = 240

This is not 120, so this is not the correct choice.

For the last choice, 45 by 10, we have two sides that are equal to 45 and 2 sides that are equal to 10.  This gives us a perimeter of

45+45+10+10 = 110

This is not 120, so this is not the correct choice.