The partial blueprint of a house that includes 3 bedrooms is shown below. The scale is 2.75 inches : 3 feet. What is the actual length and width of Bedroom 3 in feet?
Bedroom 1 w=9.17; l= 11 in
Bedroom 2 w=7.33 in; l= 12.83
Bedroom 3 w= 11 in; l= 14.67 in
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2.75 inches : 3 or 2.75 in / 3 feet
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Bedroom 3 w= 11 in; l= 14.67 in
11 in * 3 feet / 2.75 in = 12 feet
14.67 in 3 feet / 2.75 in = 16 feet
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Answer
Bedroom 3 w= 12 ft ; l= 16 ft
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Answer:
Step-by-step explanation:
GH : √(8-4)^2 + (2-5)^2 = √16+9 = √25 = 5
HI : √(-6-2)^2 + (2-8)^2 = √64+36 = √100 = 10
IJ : √(-2-2)^2 + (-3+6)^2 = √16 + 9 = √25 = 5
JH : √(-2-4)^2 + (-3-5)^2 = √36 + 64 = √100 = 10
Slope of the line that contains GH
(2-5)/(8-4) = -3/4
Slope of the line that contains HI
(-6-2) / (2-8) = 8/6 = 4/3
I calculated the distance between points. Thanks to that I noticed that the opposite sides are congruent, so the quadrilateral can be a rectangle or a parallelogram. So I found the slope of the lines that contain two consecutive sides and I discovered that are perpendicular. So the quadrilateral is a rectangle because its angles are all of 90 degrees