Math / Numbers & Operations

QuestionLola drew a scale drawing of a city park. The soccer field is 232 millimeters long in the drawing. The actual field is 116 meters long. What is the scale of the drawing?
2 millimeters : $\square$ meters Submit

Studdy Solution

STEP 1

1. The length of the soccer field in the drawing is $232$ millimeters.
2. The actual length of the soccer field is $116$ meters.
3. We need to determine the scale of the drawing in the form of $2$ millimeters to some number of meters.

STEP 2

1. Define the scale ratio.
2. Set up a proportion.
3. Solve the proportion for the scale.

STEP 3

Define the scale ratio as $\frac{2 \text{ mm}}{x \text{ meters}}$ , where $x$ is the number of meters corresponding to $2$ millimeters in the drawing.

STEP 4

Set up a proportion based on the given lengths.
$\frac{232 \text{ mm}}{116 \text{ meters}} = \frac{2 \text{ mm}}{x \text{ meters}}$

STEP 5

Simplify the left side of the proportion.
$\frac{232}{116} = 2$
Thus, the proportion becomes:
$2 = \frac{2 \text{ mm}}{x \text{ meters}}$

STEP 6

Solve the proportion to find $x$ .
Cross-multiply to solve for $x$ :
$2 \cdot x = 2 \cdot 1$
Simplify:
$2x = 2$
Divide both sides by $2$ :
$x = 1$
The scale of the drawing is:
$2 \text{ millimeters} : 1 \text{ meter}$

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QuestionLola drew a scale drawing of a city park. The soccer field is 232 millimeters long in the drawing. The actual field is 116 meters long. What is the scale of the drawing?
2 millimeters : $\square$ meters Submit

Studdy Solution

STEP 1

1. The length of the soccer field in the drawing is $232$ millimeters.
2. The actual length of the soccer field is $116$ meters.
3. We need to determine the scale of the drawing in the form of $2$ millimeters to some number of meters.

STEP 2

1. Define the scale ratio.
2. Set up a proportion.
3. Solve the proportion for the scale.

STEP 3

Define the scale ratio as $\frac{2 \text{ mm}}{x \text{ meters}}$ , where $x$ is the number of meters corresponding to $2$ millimeters in the drawing.

STEP 4

Set up a proportion based on the given lengths.
$\frac{232 \text{ mm}}{116 \text{ meters}} = \frac{2 \text{ mm}}{x \text{ meters}}$

STEP 5

Simplify the left side of the proportion.
$\frac{232}{116} = 2$
Thus, the proportion becomes:
$2 = \frac{2 \text{ mm}}{x \text{ meters}}$

STEP 6

Solve the proportion to find $x$ .
Cross-multiply to solve for $x$ :
$2 \cdot x = 2 \cdot 1$
Simplify:
$2x = 2$
Divide both sides by $2$ :
$x = 1$
The scale of the drawing is:
$2 \text{ millimeters} : 1 \text{ meter}$

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QuestionLola drew a scale drawing of a city park. The soccer field is 232 millimeters long in the drawing. The actual field is 116 meters long. What is the scale of the drawing?2 millimeters : □\square□ meters Submit

Studdy Solution

STEP 1

1. The length of the soccer field in the drawing is 232 232 232 millimeters.2. The actual length of the soccer field is 116 116 116 meters.3. We need to determine the scale of the drawing in the form of 2 2 2 millimeters to some number of meters.

STEP 2

1. Define the scale ratio.2. Set up a proportion.3. Solve the proportion for the scale.

STEP 3

Define the scale ratio as 2 mmx meters \frac{2 \text{ mm}}{x \text{ meters}} x meters2 mm​, where x x x is the number of meters corresponding to 2 2 2 millimeters in the drawing.

STEP 4

Set up a proportion based on the given lengths.232 mm116 meters=2 mmx meters\frac{232 \text{ mm}}{116 \text{ meters}} = \frac{2 \text{ mm}}{x \text{ meters}}116 meters232 mm​=x meters2 mm​

STEP 5

Simplify the left side of the proportion.232116=2\frac{232}{116} = 2116232​=2Thus, the proportion becomes:2=2 mmx meters2 = \frac{2 \text{ mm}}{x \text{ meters}}2=x meters2 mm​

STEP 6

Solve the proportion to find x x x.Cross-multiply to solve for x x x:2⋅x=2⋅12 \cdot x = 2 \cdot 12⋅x=2⋅1Simplify:2x=22x = 22x=2Divide both sides by 2 2 2:x=1x = 1x=1 The scale of the drawing is:2 millimeters:1 meter2 \text{ millimeters} : 1 \text{ meter}2 millimeters:1 meter

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QuestionLola drew a scale drawing of a city park. The soccer field is 232 millimeters long in the drawing. The actual field is 116 meters long. What is the scale of the drawing?
2 millimeters : $\square$ meters Submit

1. The length of the soccer field in the drawing is $232$ millimeters.
2. The actual length of the soccer field is $116$ meters.
3. We need to determine the scale of the drawing in the form of $2$ millimeters to some number of meters.

1. Define the scale ratio.
2. Set up a proportion.
3. Solve the proportion for the scale.

Define the scale ratio as $\frac{2 \text{ mm}}{x \text{ meters}}$ , where $x$ is the number of meters corresponding to $2$ millimeters in the drawing.

Set up a proportion based on the given lengths.
$\frac{232 \text{ mm}}{116 \text{ meters}} = \frac{2 \text{ mm}}{x \text{ meters}}$

Simplify the left side of the proportion.
$\frac{232}{116} = 2$
Thus, the proportion becomes:
$2 = \frac{2 \text{ mm}}{x \text{ meters}}$

Solve the proportion to find $x$ .
Cross-multiply to solve for $x$ :
$2 \cdot x = 2 \cdot 1$
Simplify:
$2x = 2$
Divide both sides by $2$ :
$x = 1$
The scale of the drawing is:
$2 \text{ millimeters} : 1 \text{ meter}$