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5.) figure 12.16 shows the floorplan for a modern one story house. Bob calculates the area of the floor of the housing this way: 36•72-18•18 = 2268 feet squared. what might Bob have in mind? Explain why Bob’s method is a legitimate way to calculate the floor area of the house, and explain clearly have one or both of the moving and additivity principles on area apply in this case

5 figure 1216 shows the floorplan for a modern one story house Bob calculates the area of the floor of the housing this way 36721818 2268 feet squared what migh class=

Respuesta :

From the given image, the Area of the floor can be calculated by removing/subtracting the area of the two triangles from the area of the rectangle.

Area of a rectangle is;

[tex]\begin{gathered} A_r=lb \\ A_r=36.72 \end{gathered}[/tex]

Area of the two triangles;

[tex]\begin{gathered} A_t=\frac{1}{2}bh+\frac{1}{2}bh=\frac{1}{2}(18.18)+\frac{1}{2}(18.18) \\ A_t=18.18 \end{gathered}[/tex]

The Area of the floor is;

[tex]\begin{gathered} A=A_r-A_t \\ A=36.72-18.18 \\ A=2592-324 \\ A=2268ft^2 \end{gathered}[/tex]

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