Answer:
Map 1:
Width of 12 inches → 1 inch = 400 miles ⇒ 6th
Map 2:
Length of 20 inches → 1 inch = 300 miles ⇒ 1st
Map 3:
Area of 80 inches → 1 inch = 600 miles ⇒ 3rd
Map 4:
Scale not shown ⇒ 5th
Map 5:
Length of 60 inches → 1 inch = 100 miles ⇒ 4th
Step-by-step explanation:
The map scale is:
1 inch = 200 miles
The dimensions of the map are:
length of 30 inches and width of 24 inches
→ 1 : 200
→ 24 : x
→ 30 : y
By using cross multiplication
∴ x = 4800 ⇒ actual width
∴ y = 6000 ⇒ actual length
<em>Let us take the dimension in each map to find its scale</em>
Map 1:
∵ Width of 12 inches
→ 1 : m
→ 12 : 4800
By using cross multiplication
∴ 12 m = 4800
- Divide both sides by 12
∴ m = 400
∴ The scale of the map is 1 : 400
Map 1:
Width of 12 inches → 1 inch = 400 miles
Map 2:
∵ length of 20 inches
→ 1 : n
→ 20 : 6000
By using cross multiplication
∴ 20 n = 6000
- Divide both sides by 20
∴ n = 300
∴ The scale of the map is 1 : 300
Map 2:
Length of 20 inches → 1 inch = 300 miles
Map 3:
∵ Area of 80 inches²
∵ Area of the original map = 24 × 30 = 720 inches²
→ (1 inch)² : (1 mile)²
→ 1² : 200²
→ 720 : q
By using cross multiplication
∴ q = 28800000
Let us find the scale
→ 1² : p²
→ 80 : 28800000
By using cross multiplication
∴ 80 p² = 28800000
- Divide both sides by 80
∴ p² = 360000
- Take √ for both sides
∴ P = 600
∴ The scale of the map is 1 : 600
Map 3:
Area of 80 inches → 1 inch = 600 miles
Map 4:
∵ Width of 4 inches
→ 1 : f
→ 4 : 4800
By using cross multiplication
∴ 4 f = 4800
- Divide both sides by 4
∴ f = 1200
∴ The scale of the map is 1 : 1200
Map 4:
Width of 4 inches → 1 inch = 1200 miles ⇒ scale not shown
Map 5:
∵ length of 60 inches
→ 1 : g
→ 60 : 6000
By using cross multiplication
∴ 60 g = 6000
- Divide both sides by 60
∴ g = 100
∴ The scale of the map is 1 : 100
Map 5:
Length of 60 inches → 1 inch = 100 miles
