Roxiand Jan constructed a scale model of a swing set. The height of the actual swing set is 10 feet tall and 15 feet long and 8.5 feet wide. Roxi crafts a swing set that is 25 in by 37.5 in by 21.25 in. What is the scale factor of Roxi's model? (Round to the nearest hundredth, if necessary)

The scale factor of Roxi's model is 5:24 ( ≅ 0.21).

Step-by-step explanation:

A scale factor can be used to either enlarge or reduce the size of an object.

scale factor =

Since 1 feet = 12 inches, then for the actual swing set;

length = 15 feet = 15 x 12 = 180 inches

height = 10 feet = 10 x 12 = 120 inches

width = 8.5 feet = 8.5 x 12 = 102 inches

For Roxi's crafts swing set;

length = 37.5 inches

height = 25 inches

width = 21.25 inches

i. Comparing the actual length with the length of Roxi's model.

scale factor of Roxi's model =

                                               =

ii. Comparing the actual height with the height of Roxi's model.

scale factor of Roxi's model =

                                              =

iii. Comparing the actual width with the width of Roxi's model.

scale factor of Roxi's model =

                                              =

Therefore, the scale factor of Roxi's model is 5:24 ( ≅ 0.21).

step-by-step explanation:

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