A homeowner wants to insulate the new recreation room in her basement. She has been told that 3' of insulation would do the job. The walls are all 9' high and respectively measure 13', 13', 18', and 18' in length. How many rolls will she need if each roll measures 3' x 2' x 50'?

Question

Mathematics

Brent

23 May, 04:13

A homeowner wants to insulate the new recreation room in her basement. She has been told that 3' of insulation would do the job. The walls are all 9' high and respectively measure 13', 13', 18', and 18' in length. How many rolls will she need if each roll measures 3' x 2' x 50'?

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Answers (1)

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Zoe Page · Answer 1

6 rolls

Step-by-step explanation:

Data provided in the question:

Height of wall = 9'

Width of walls = 13', 13', 18' and 18'

Dimension of roll = 3' x 2' x 50'

Now,

Total area of the walls = 9' * 13' + 9' * 13' + 9' * 18' + 9' * 18'

= 117 + 117 + 162 + 162

= 558 ft²

Area of each roll = 2' * 50'

= 100 ft²

Thus,

Number of rolls required = [ Total area of the walls ] : [ Area of each roll ]

= 558 ft² : 100 ft²

= 5.58 ≈ 6 rolls