Question

The floor plan for Kamal’s Comic Book Shop is shown in the figure below with dimensions given in feet. Kamal has commissioned an artist to paint a fantasy epic mural on the walls of the shop and must provide the artist with the total length of the walls to be painted (shown by the solid lines of the floor plan). According to the floor plan, which of the following is closest to the total length, in feet, of the walls that Kamal should quote to the artist

Answer 1

AccordingAccording to the floor plan, the one that is closest to the total length, in feet, of the walls that Kamal should quote to the artist is: 58.65.

Length

Let the length of hypotenuse be x

Using Pythagorean theorems

x²=(19-15)²+12²

x²=16+144

x²=160

x=√160

x=12.649

x=12.65 (Approximately)

Hence:

Total length:

Total length=12.65+15+12+19

Total length=58.65

Therefore according to the floor plan, the one that is closest to the total length, in feet, of the walls that Kamal should quote to the artist is: 58.65.

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