The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length and W is the width.
Let's calculate the perimeter for each set of dimensions:
1. 12m x 10m
P = 2(12) + 2(10) = 24 + 20 = 44m
2. 50m x 10m
P = 2(50) + 2(10) = 100 + 20 = 120m
3. 60m x 60m
P = 2(60) + 2(60) = 120 + 120 = 240m
4. 45m x 10m
P = 2(45) + 2(10) = 90 + 20 = 110m
The set of dimensions that will create a rectangle using all the rope Gloria has with her is 50m x 10m, as it has a perimeter of 120m.
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
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