What is the value of x in the figure?
2 answers:
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Scale drawing takes scaled versions of original lengths. The actual length of the swing set area of the park is 25 ft long and 100 ft wide
<h3>How are scale drawings formed?</h3>For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
For the given case, it is given that
Real dimension of a rectangular park : 600 ft by 1000 ft
In drawing, it was of 12 inches by 20 inches.
Let the scale that the drawing is using be k feet to s inches, then
Since it is given that 600 ft : 12 inches and 1000 ft : 20 inches, thus, we get:
Thus, every feet is reduced 0.02 times in drawing.
Now,
it is given that in drawing, the rectangular area for swing sets is 0.5 inch to 2 inch.
Let its real length was L and real width was W. Then we have:
Since these are only magnitudes, and unit was converted from feet to inches, so we have L = 25 feet and W = 100 feet
Thus,
The actual length of the swing set area of the park is 25 ft long and 100 ft wide
Learn more about scaling here:
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