Question

HELP 7TH GRADE MATH

A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.

If the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park?
If a straight path in the park is 900 feet long, how long would the path be when represented on the map?

Answer 1

The length of each side of the square park is 2,400 ft

Explanation:

step 1

Remember that

1 ft=12 in

The length of each side on the map is 1 ft

Convert ft to in

1 ft=1(12)=12 in

step 2

Find the length of each side of the square park

using proportion

Let

x ----> the actual length of each side of the square park

Answer 2

2400 ft, 4.5 inches

Explanation:

If the scale is 1 inch to 200 feet, and the park is shown as 1 ft on each side, then we need to multiply 1 ft, in inches, with 200 ft to find the actual length of the park

1 ft = 12 inches

12 in. x 200 ft = 2400 ft

To find the length of the path as displayed on the map, simply divide the given length by 200 ft.

900/200 = 4.5

Therefore, the path will be displayed as 4.5 inches on the map.