Jada is putting a border around her rectangular garden. The garden is 12.63 meters
Part A
Jada estimates the perimeter of her garden by rounding the length and width to the nearest whole number. Which equation shows her estimate?
A. 10 + 5 + 10 + 5 = 30 meters
B. 12 + 3 + 12 + 3 = 30 meters
C. 13 + 3 + 13 + 3 = 32 meters
D. 13 + 4 + 13 + 4 = 34 meters
Part B
Jada also estimates the perimeter of her garden by rounding the length and width to the nearest tenth. Which equation shows this estimate?
A. 12.6 + 3.2 + 12.6 + 3.2 = 31.6 meters
B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters
C. 12.5 + 3.5 + 12.5 + 3.5 = 32 meters
D. 12.7 + 3.3 + 12.7 + 3.3 = 32 meters
Part C
What is the exact perimeter of Jada’s garden? Enter your answer in the box.
meters
Part D
Select words or numbers from the drop-down menus to explain which estimate is closer to the exact perimeter.
The numbers rounded to the nearest
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are closer because
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is closer to the exact perimeter than
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.
Answer/Step-by-step explanation:
Length of rectangular garden = 12.63 m
Width of rectangular garden = 3.28
Part A: Perimeter of garden if the length and height is rounded to nearest whole number.
12.63 rounded to nearest whole number = 13
3.28 rounded to nearest whole number = 3
Equation that shows her estimate would be: C. 13 + 3 + 13 + 3 = 32 meters
Part B: Perimeter of garden if the length and height is rounded to nearest tenth.
12.63 rounded to nearest tenth = 12.6
3.28 rounded to nearest tenth = 3.3
Equation that shows this estimate would be: B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters
Part C: Exact Perimeter of her garden.
Exact perimeter would be 12.63 + 3.28 + 12.63 + 3.28 = 31.82 meters
Part D:
Difference between 31.82 and the exact perimeter is 0.02, while difference between 32 and the exact perimeter is 0.18.
Therefore:
The numbers rounded to the nearest TENTH are closer because 31.8 meters is closer to the exact perimeter than 32 meters.
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