A town is designing a rectangular park that will be 600 feet by 1000 feet. A rectangular area of the park for swing sets will be 25 feet by 100 feet. On a scale drawing of the park, the swing set area is 0.5 inch by 2 inches. What are the dimensions of the park on the scale drawing? Enter your answers in the boxes. On the scale drawing, the dimensions of the park are ____ inches by ____ inches.

Answer:On the scale drawing, the dimension of the park is 12 by 20 inchesStep-by-step explanation:GivenDimension of park = 600 by 1000 ftDimension of swing set = 25 by 100 ftScale of swing set = 0.5 by 2 inchesThe syntax of dimension is length by width.Hence,Length of park = 600ftWidth of park = 1000ftSimilarly,Length of swing = 25ftWidth of swing = 100ftSimilarly,Length of scale of swing set = 0.5 inchWidth of scale of swing set = 2 inchesTo solve this question, we'll need to calculate the ratio Swing set measurements to its scale.For length;Ratio = Length of Swing set ÷ Length of scaleRatio = 25ft ÷ 0.5inRatio = 50ft/inFor width;Ratio = Width of swing set ÷ Width of scaleRatio = 100ft ÷ 2 inRatio = 50ft/inSo, the dimension of the ratio is 50 by 50 ft/inTo get the scale of the park;We divide the dimension of the park by the dimension of the ratio.This is done as follows;Scale of park;Length= length of park ÷ ratio of lengthLength = 600ft ÷ 50ft/inLength = 12inchesSimilarly,Width = width of park ÷ width of ratioWidth = 1000ft ÷ 50ft/inWidth = 20inches.Hence, on the scale drawing, the dimension of the park is 12 by 20 inches