anonymous
  • anonymous
The greenhouse club is purchasing seed for the lawn in the school courtyard. The club needs to determine how much to buy. Unfortunately, the club meets after school, and students are unable to find a custodian to unlock the door. Anthony suggests they just use his school map to calculate the area that will need to be covered in seed. He measures the rectangular area on the map and finds the length to be 10 inches and the width to be 6 inches. The map notes the scale of 1 inch representing 7 feet in the actual courtyard. What is the actual area in square feet? (Enter just the number, no units)
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
mathstudent55
  • mathstudent55
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mathstudent55
  • mathstudent55
The school map shows the rectangle to be 10 in. by 6 in. Also, the school map has a scale of 1 inch (map) = 7 ft (real). If 1 in. represents 7 ft, 10 inches represent how many feet?

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anonymous
  • anonymous
70
mathstudent55
  • mathstudent55
Correct. Now for the width. If 1 in. (map) = 7 ft (real), then 6 in. represents what real length?
anonymous
  • anonymous
42
mathstudent55
  • mathstudent55
Map Real 1 in. = 7 ft 2 in. = 2 * 1 in. = 2 * 7 ft = 14 ft 3 in. = 3 * 1 in. = 3 * 7 ft = 21 ft etc. 6 in. = 6 * 1 in. = 6 * 7 ft = 42 ft etc. 10 in. = 10 * 1 in. = 10 * 7 ft = 70 ft
mathstudent55
  • mathstudent55
Correct. That means the real length and width of the courtyard are 70 ft and 42 ft. Now you need to find the area of a rectangle with length 70 ft and width 42 ft. Do you know how to find the area of a rectangle?
anonymous
  • anonymous
2,940
mathstudent55
  • mathstudent55
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mathstudent55
  • mathstudent55
Correct A = L * W = 70 ft * 42 ft = 2,940 ft^2 They want only the number, so just write 2940m, and leave out the units ft^2.
anonymous
  • anonymous
ty
anonymous
  • anonymous
so just write 2940
mathstudent55
  • mathstudent55
You're welcome. Good job! You actually did all the work.
mathstudent55
  • mathstudent55
Yes
mathstudent55
  • mathstudent55
Notice the last line of the problem: (Enter just the number, no units)

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