A room is a square with walls 40 ft long each. if they hang the lights around the perimeter of the ceiling and then from the opposite corners to opposite corners to create an X on the ceiling, how many feet of lights are needed? Use special triangles to answer both in the exact feet and to the nearest foot. If lights come in 30 ft strands. how many strands are needed?

Question

Mathematics

Cyrus Carpenter

4 October, 04:13

A room is a square with walls 40 ft long each. if they hang the lights around the perimeter of the ceiling and then from the opposite corners to opposite corners to create an X on the ceiling, how many feet of lights are needed? Use special triangles to answer both in the exact feet and to the nearest foot. If lights come in 30 ft strands. how many strands are needed?

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Answers (1)

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Jovan Valentine · Answer 1

10 strands

Step-by-step explanation:

Perimeter of the room = 40 + 40 + 40 + 40 = 160 ft

Diagonal length of the room = √ (40² + 40²) = 40√2 ft

Total length = 160 + 40√2 + 40√2 = 273.14 ft (Nearest hundredth)

Strands needed = 273.14 : 30 = 10 (Next nearest whole number)