carrivera1414
carrivera1414 carrivera1414
  • 26-05-2020
  • Mathematics
contestada

What is the minimum amount of cloth that was used to make the tent shown below?
5 ft
5 ft
4 ft
6 ft
10 ft
120ft
160ft
184 ft
20842

What is the minimum amount of cloth that was used to make the tent shown below 5 ft 5 ft 4 ft 6 ft 10 ft 120ft 160ft 184 ft 20842 class=

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sqdancefan
sqdancefan sqdancefan
  • 28-05-2020

Answer:

  184 ft²

Step-by-step explanation:

The perimeter of the end triangle is 6+5+5 = 16 ft. That is the length of the 10 ft wide rectangle that forms the floor and sides of the tent. That rectangle's area is ...

  A = LW = (16 ft)(10 ft) = 160 ft^2

The area of the two triangular ends, taken together, is equivalent to that of a rectangle 4 ft high and 6 ft wide. The two ends have an area of ...

  A = LW = (6 ft)(4 ft) = 24 ft^2

Then the total area of the tent is ...

  160 ft^2 +24 ft^2 = 184 ft^2

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