The width of the model is 18 centimeters
Step-by-step explanation:
Louis is constructing a scale model of a regulation size soccer field
- The soccer field that measures 90 meters wide and 120 meters long
- The longest side of his model is 24 cm long
We need to find the width of the model
∵ The actual length of the soccer field is 120 meters
∵ The model length of the soccer field is 24 centimeters
- Find the scale of drawing of the model by finding the ratio
between the model length and the actual length
→ cm : m
→ 24 : 120
Simplify the ratio by dividing the two terms by the same number
Divide both term by 24
∵ 24 ÷ 24 = 1
∵ 120 ÷ 24 = 5
→ cm : m
→ 1 : 5
The scale drawing is 1 : 5 , that means 1 cm in the model represents 5 meters in actual
Use the scale drawing to find the width of the model
∵ The actual width is 90 meters
∵ The scale drawing is 1 : 5
→ cm : m
→ 1 : 5
→ x : 90
By using cross multiplication
∴ x × 5 = 1 × 90
∴ 5 x = 90
- Divide both sides by 5
∴ x = 18 cm
∴ The width of the model = 18 cm
The width of the model is 18 centimeters
Learn more:
You can learn more about the ratio in brainly.com/question/10712420
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