Question

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 1

12 by 20

Explanation:

took k-12 test

Answer 2

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

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