: Kenneth measured a hotel and made a scale drawing. The scale he used was 1 inch =4 feet. The actual length of a room in the ho
1 answer:
The room is 5 inches long in the drawing.
Step-by-step explanation:
Given,
Scale drawing used by Kenneth;
1 inch = 4 feet
Ratio of scale = 1:4
Actual length of room = 20 feet
Let,
x be the length in drawing
Ratio of actual length = x:20
Using proportion
Scale ratio :: Actual ratio
Product of mean = Product of extreme
Dividing both sides by 4
The room is 5 inches long in the drawing.
Keywords: ratio, proportion
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Easy
the easiest way is to imagine that you have a rectangle with a corner cut off
the area of the figure=area of rectangle-area cut off
area that was cut off was a triangle
area of rectangle=length times width
area of triangle=1/2base times height
so we draw imaginary lines like in attachment
find area of rectangle
legnth=9 inch
width=9 inch
area=9 times 9=81 in^2
triangle
the top part is ?+5=9, so the base of triangle=4
the side is ?+4=9, so the base is 5
area=1/2 times 4 times 5=10 in^2
area=rectangle-triangle
area=81-10=71 in^2
the easiest way is to imagine that you have a rectangle with a corner cut off
the area of the figure=area of rectangle-area cut off
area that was cut off was a triangle
area of rectangle=length times width
area of triangle=1/2base times height
so we draw imaginary lines like in attachment
find area of rectangle
legnth=9 inch
width=9 inch
area=9 times 9=81 in^2
triangle
the top part is ?+5=9, so the base of triangle=4
the side is ?+4=9, so the base is 5
area=1/2 times 4 times 5=10 in^2
area=rectangle-triangle
area=81-10=71 in^2