QuestionA local park is square-shaped, with a map scale of 1 inch to 200 feet.
Part A: If each side on the map is 1 foot, find the actual side length: $1 \text{ ft} \times 200 = 24000 \text{ ft}$ .
Part B: For a 900 ft path, find its map length: $900 \text{ ft} \div 200 = 4.5 \text{ in}$ .

Studdy Solution

STEP 1

Assumptions1. The park is in the shape of a square. The scale of the map is1 inch to200 feet3. The park is represented as a square on the map, each side of which is one foot long4. The length of a straight path in the park is900 feetPART A

STEP 2

First, we need to convert the length of the side of the square on the map from feet to inches, since the scale is given in inches.
$Length\, on\, map =1\, foot =12\, inches$

STEP 3

Now, we can use the scale to find the actual length of each side of the square park. The scale tells us that1 inch on the map represents200 feet in reality.
$Actual\, length = Length\, on\, map \\times Scale$

STEP 4

Plug in the values for the length on the map and the scale to calculate the actual length.
$Actual\, length =12\, inches \\times200\, feet/inch$

STEP 5

Calculate the actual length of each side of the square park.
$Actual\, length =12\, inches \\times200\, feet/inch =2400\, feet$ Each side of the square park is2400 feet long.
PART B

STEP 6

Now, we need to find the length of the path on the map. We can do this by dividing the actual length of the path by the scale.
$Length\, on\, map = Actual\, length / Scale$

STEP 7

Plug in the values for the actual length of the path and the scale to calculate the length on the map.
$Length\, on\, map =900\, feet /200\, feet/inch$

STEP 8

Calculate the length of the path on the map.
$Length\, on\, map =900\, feet /200\, feet/inch =4.5\, inches$ The path would be4.5 inches long when represented on the map.

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QuestionA local park is square-shaped, with a map scale of 1 inch to 200 feet.
Part A: If each side on the map is 1 foot, find the actual side length: $1 \text{ ft} \times 200 = 24000 \text{ ft}$ .
Part B: For a 900 ft path, find its map length: $900 \text{ ft} \div 200 = 4.5 \text{ in}$ .

Studdy Solution

STEP 1

Assumptions1. The park is in the shape of a square. The scale of the map is1 inch to200 feet3. The park is represented as a square on the map, each side of which is one foot long4. The length of a straight path in the park is900 feetPART A

STEP 2

First, we need to convert the length of the side of the square on the map from feet to inches, since the scale is given in inches.
$Length\, on\, map =1\, foot =12\, inches$

STEP 3

Now, we can use the scale to find the actual length of each side of the square park. The scale tells us that1 inch on the map represents200 feet in reality.
$Actual\, length = Length\, on\, map \\times Scale$

STEP 4

Plug in the values for the length on the map and the scale to calculate the actual length.
$Actual\, length =12\, inches \\times200\, feet/inch$

STEP 5

Calculate the actual length of each side of the square park.
$Actual\, length =12\, inches \\times200\, feet/inch =2400\, feet$ Each side of the square park is2400 feet long.
PART B

STEP 6

Now, we need to find the length of the path on the map. We can do this by dividing the actual length of the path by the scale.
$Length\, on\, map = Actual\, length / Scale$

STEP 7

Plug in the values for the actual length of the path and the scale to calculate the length on the map.
$Length\, on\, map =900\, feet /200\, feet/inch$

STEP 8

Calculate the length of the path on the map.
$Length\, on\, map =900\, feet /200\, feet/inch =4.5\, inches$ The path would be4.5 inches long when represented on the map.

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Studdy Solution

STEP 1

Assumptions1. The park is in the shape of a square. The scale of the map is1 inch to200 feet3. The park is represented as a square on the map, each side of which is one foot long4. The length of a straight path in the park is900 feetPART A

STEP 2

First, we need to convert the length of the side of the square on the map from feet to inches, since the scale is given in inches.Length on map=1 foot=12 inchesLength\, on\, map =1\, foot =12\, inchesLengthonmap=1foot=12inches

STEP 3

Now, we can use the scale to find the actual length of each side of the square park. The scale tells us that1 inch on the map represents200 feet in reality.Actual length=Length on maptimesScaleActual\, length = Length\, on\, map \\times ScaleActuallength=LengthonmaptimesScale

STEP 4

Plug in the values for the length on the map and the scale to calculate the actual length.Actual length=12 inchestimes200 feet/inchActual\, length =12\, inches \\times200\, feet/inchActuallength=12inchestimes200feet/inch

STEP 5

Calculate the actual length of each side of the square park.Actual length=12 inchestimes200 feet/inch=2400 feetActual\, length =12\, inches \\times200\, feet/inch =2400\, feetActuallength=12inchestimes200feet/inch=2400feetEach side of the square park is2400 feet long.PART B

STEP 6

Now, we need to find the length of the path on the map. We can do this by dividing the actual length of the path by the scale.Length on map=Actual length/ScaleLength\, on\, map = Actual\, length / ScaleLengthonmap=Actuallength/Scale

STEP 7

Plug in the values for the actual length of the path and the scale to calculate the length on the map.Length on map=900 feet/200 feet/inchLength\, on\, map =900\, feet /200\, feet/inchLengthonmap=900feet/200feet/inch

STEP 8

Calculate the length of the path on the map.Length on map=900 feet/200 feet/inch=4.5 inchesLength\, on\, map =900\, feet /200\, feet/inch =4.5\, inchesLengthonmap=900feet/200feet/inch=4.5inchesThe path would be4.5 inches long when represented on the map.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

First, we need to convert the length of the side of the square on the map from feet to inches, since the scale is given in inches.
$Length\, on\, map =1\, foot =12\, inches$

Now, we can use the scale to find the actual length of each side of the square park. The scale tells us that1 inch on the map represents200 feet in reality.
$Actual\, length = Length\, on\, map \\times Scale$

Plug in the values for the length on the map and the scale to calculate the actual length.
$Actual\, length =12\, inches \\times200\, feet/inch$

Calculate the actual length of each side of the square park.
$Actual\, length =12\, inches \\times200\, feet/inch =2400\, feet$ Each side of the square park is2400 feet long.
PART B

Now, we need to find the length of the path on the map. We can do this by dividing the actual length of the path by the scale.
$Length\, on\, map = Actual\, length / Scale$

Plug in the values for the actual length of the path and the scale to calculate the length on the map.
$Length\, on\, map =900\, feet /200\, feet/inch$

Calculate the length of the path on the map.
$Length\, on\, map =900\, feet /200\, feet/inch =4.5\, inches$ The path would be4.5 inches long when represented on the map.