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# Natasha's apartment has a square ceiling

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Natasha’s apartment has a square ceiling that is 18 feet long on each side. For her birthday party, she is going to buy streamers for ceiling decorations that come in 25-foot rolls each. She is going to hang the streamers along the perimeter of the ceiling and then from each corner to the opposite corner. What is the minimum number of streamer rolls that Natasha needs to buy for her party? Show your work.

Guest Mar 3, 2018

#1
+12117
+2

She needs a perimeter    18 x 4 = 72 ft

PLUS TWO diagonals

Pythagorean theorem for right triangles

diagonal = sqrt (18^2 + 18^2) = 25.46 ft

{72 + 2(25.46))  ft  /  25 ft/roll = 4.92 rolls    She will need FIVE rolls

ElectricPavlov  Mar 3, 2018
Sort:

#1
+12117
+2

She needs a perimeter    18 x 4 = 72 ft

PLUS TWO diagonals

Pythagorean theorem for right triangles

diagonal = sqrt (18^2 + 18^2) = 25.46 ft

{72 + 2(25.46))  ft  /  25 ft/roll = 4.92 rolls    She will need FIVE rolls

ElectricPavlov  Mar 3, 2018

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