Question

The ceiling of Victoria’s living room is a square that is 16√2 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Victoria can buy rolls that each contain 25 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.

Answer 1

The minimum number of rolls that can be bought is 4.

The first step is to determine the perimeter of the ceiling and the length of its hypotenuse.

Perimeter of the ceiling = perimeter of a square = 4 x length = 4 x 16 = 64 ft

The hypotenuse is the distance from one corner of the ceiling to the other corner of the ceiling. The hypotenuse would be determined using the Pythagoras theorem.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

16² + 16²

= 256 + 256

= 512 feet

c = √512 = 22.6 feet

Total length =  22.6 feet + 64 feet = 86.63 feet

Minimum number of rolls = 86.63 / 25 = 3.46 = 4

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