For a stadium exhibition, Tara and Emek had to build a proportional model on a 90-centimeter-long display base. The real stadium plan showed a field 105 meters long and 68 meters wide. They chose a scale of 1 centimeter for every 2 meters, making the model field 52.5 centimeters by 34 centimeters. The plan showed that the running track extended 8 meters beyond each end of the field, so Emek calculated a total model length of 60.5 centimeters for that section. The seating area extended another 24 meters beyond each end of the track. Tara converted each 24-meter section to 12 centimeters and found that the complete model would be 84.5 centimeters long. To check their work, they confirmed that every model measurement used the same scale. Since 84.5 centimeters fit within the 90-centimeter base, they built the model with 5.5 centimeters to spare and completed the exhibition display accurately.

Challenges

Start
Challenge 1 of 5

Challenges

Start
Challenge 1 of 4
Hint
The track extends beyond both ends of the field, not just one end.
Emek says the running track section should be 56.5 centimeters long because he added the 8-meter extension only once to the 105-meter field. What mistake did he make?
He should have added an 8-meter extension at each end of the field before using the scale.He should have subtracted 8 meters from each end of the field.He should have used 8 centimeters for each track extension.He should have doubled the 105-meter field length before adding the extension.
Correct. The two 8-meter extensions must both be included.
Not quite. Check how many ends of the field have an 8-meter track extension.
Next
🎉 Congrats! You got this question!
Hint
Each centimeter of the model represents 2 meters in the real stadium.
The complete model is 84.5 centimeters long. Using the scale of 1 centimeter for every 2 meters, what real-world length in meters does the complete model represent?
Correct. The 84.5-centimeter model represents 169 meters.
Check the scale. Multiply the model length by 2 meters per centimeter.
Next
🎉 Congrats! You got this question!
Hint
Include an 8-meter track extension and a 24-meter seating extension at each of the two ends, then apply the scale.
A student checks the complete model by starting with the real field length of 105 meters, adding the track extensions and seating extensions at both ends, and then converting to the model scale. Which calculation correctly verifies the model length?
(105 + 8 + 24) / 2 = 68.5 centimeters(105 + 16 + 24) / 2 = 72.5 centimeters(105 + 2 * 8 + 2 * 24) / 2 = 84.5 centimeters(105 + 2 * 8 + 2 * 24) * 2 = 338 centimeters
Correct. Including both extensions at both ends gives 169 meters, which becomes 84.5 centimeters on the model.
Not quite. Make sure both ends are included and then convert using 1 centimeter for every 2 meters.
Next
🎉🎉🎉🎉🎉🎉🎉🎉
🎉 Congrats! You finished this challenge set!
Stadyum Modeli Yarışması
TR
ARC_G07_GM_02_STORY_03
Stadyum Modeli Yarışması
The Stadium Model Challenge
EN
ARC_G07_GM_02_STORY_03
The Stadium Model Challenge