Atown 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.

On the scale drawing, the dimension of the park is 12 by 20 inches

Step-by-step explanation:

Given

Dimension of park = 600 by 1000 ft

Dimension of swing set = 25 by 100 ft

Scale of swing set = 0.5 by 2 inches

The syntax of dimension is length by width.

Hence,

Length of park = 600ft

Width of park = 1000ft

Similarly,

Length of swing = 25ft

Width of swing = 100ft

Similarly,

Length of scale of swing set = 0.5 inch

Width of scale of swing set = 2 inches

To 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 scale

Ratio = 25ft ÷ 0.5in

Ratio = 50ft/in

For width;

Ratio = Width of swing set ÷ Width of scale

Ratio = 100ft ÷ 2 in

Ratio = 50ft/in

So, the dimension of the ratio is 50 by 50 ft/in

To 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 length

Length = 600ft ÷ 50ft/in

Length = 12inches

Similarly,

Width = width of park ÷ width of ratio

Width = 1000ft ÷ 50ft/in

Width = 20inches.

Hence, on the scale drawing, the dimension of the park is 12 by 20 inches

step-by-step explanation: