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  • 22-03-2019
  • Mathematics
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A scale drawing of the side view of a house is shown at the right. Find the total area (in square inches) of the side of the house in the drawing PLEASE HELP!!

A scale drawing of the side view of a house is shown at the right Find the total area in square inches of the side of the house in the drawing PLEASE HELP class=

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calculista
calculista calculista
  • 31-03-2019

Answer:

The total area of the side of the house in the drawing is [tex]1.4\ in^{2}[/tex]

Step-by-step explanation:

step 1

Convert the actual dimensions of the side view of a house to the dimensions of the drawing

The scale of the drawing is [tex]\frac{1}{20}\frac{in}{ft}[/tex]

so

[tex]20\ ft=20/20=1\ in[/tex]

[tex]24\ ft=24/20=1.2\ in[/tex]

[tex]8\ ft=8/20=0.4\ in[/tex]

The total area is equal to the area of rectangle plus the area of triangle

so

[tex]A=(1)(1.2)+\frac{1}{2}(1)(0.4)=1.4\ in^{2}[/tex]

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