Consider this scaled figure of a swimming pool. The dimensions of the original pool are 24 feet wide by 36 feet long. A rectangle has a width of 6. 4 feet and width of question mark feet. Use the measurements of the original and of the scaled figure to find the scale factor and the missing length. What is the scale factor? What is the missing length of the scale model?.

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The

scale factorused forscalingthe actualrectangular poolwas 4/15 and thelengthof thescaled rectangleis 9.6 feet.## How to calculate the scale factor?

Suppose the

initial measurementof afigurewas x units.And let the

figureis scaled andnew measurementis of y units.Since the scaling is done by

multiplicationof some constant, that constant is calledscale factor. Let thatconstantbe 's'.Then we have:

Thus,

scalefactoris the ratio of the newmeasurementto the old measurement.For this case, we're specified that:

Dimensions of the

original pool= 24 feetwideby 36 feet longThe scaled

rectangle'sdimension: 6.4 feet width and L feetlength(we assume thelengthbe L units).So, in

scale drawing, 24 feet was converted to 6.4 feet. Let the scale factor be 's', then:Thus, since

lengthis alsoscaledby samefactor(as the whole figure is scaled by constant scale factor assumingly), we get:Scaled length = s times original length

Thus, the

scale factorused forscalingthe actualrectangular poolwas 4/15 and thelengthof thescaled rectangleis 9.6 feet.Learn more about

scale factorshere :https://brainacademy.pro/question/8765466