At a sports stadium, Tara and Emek were asked to mark a rectangular training field beside the main arena. They had only a scaled plan showing that 1 centimeter represented 8 meters. On the plan, the open area measured 9 centimeters by 6 centimeters, so they determined that the real space was 72 meters by 48 meters. The new field needed to be 56 meters long and 32 meters wide. Tara converted these dimensions back to the plan and found that the field would measure 7 centimeters by 4 centimeters there. Emek noticed that placing it against one edge would leave only 8 meters beside a busy walkway. By shifting the field, they could leave 8 meters on each side across the 48-meter width. They marked the balanced position on the plan, then measured it at the stadium. The field fit perfectly while keeping both walkways clear.

Challenges

Challenge 1 of 5

Challenges

Challenge 1 of 4
Hint
Each centimeter on the plan represents 8 meters in the stadium.
The stadium plan uses a scale of 1 centimeter to 8 meters. A storage area beside the training field is 3 centimeters long on the plan. What is its actual length?
11 meters16 meters24 meters32 meters
Correct. A length of 3 centimeters on the plan represents 24 meters.
Not quite. Multiply the plan length by the number of meters represented by each centimeter.
Next
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Hint
First find the total unused length, then divide it equally between the two ends.
The open area is 72 meters long, while the new training field is 56 meters long. If Tara centers the field along the 72-meter length so that the unused space is equal at both ends, how many meters of space will be left at each end?
Correct. The 16 meters of unused length gives 8 meters of space at each end.
Check how much of the 72-meter length remains after placing the 56-meter field, then split that amount equally.
Next
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Hint
Find the area of each rectangle, then subtract the field area from the total open area.
The open area measures 9 centimeters by 6 centimeters on the plan, and the training field measures 7 centimeters by 4 centimeters. How much area on the plan is outside the training field?
14 square centimeters26 square centimeters28 square centimeters54 square centimeters
Correct. The open area is 54 square centimeters and the field is 28 square centimeters, leaving 26 square centimeters.
Not quite. Find the area of both rectangles using length times width, then find the difference.
Next
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Yeni Antrenman Sahası
TR
ARC_G07_GM_02_STORY_01
Yeni Antrenman Sahası
The New Training Field
EN
ARC_G07_GM_02_STORY_01
The New Training Field