Answer:
The length is 43 feet, the width is 15 feet, and the area is 645 square feet
Explanation:
Let us solve the question
∵ The drawing plan shows a rectangle that is 17.2 inches by 6 inches
∴ The drawing length = 17.2 inches
∴ The drawing width = 6 inches
∵ The scale in the plan is 2 in.: 5 ft
→ By using the ratio method
→ inches: feet
→ 2 : 5
→ 17.2 : L
→ 6 : W
→ By using the cross multiplication
∵ 2 × L = 17.2 × 5
∴ 2L = 86
→ Divide both sides by 2
∴ L = 43 feet
∴ The actual length is 43 feet
→ By using the cross multiplication
∵ 2 × W = 6 × 5
∴ 2W = 30
→ Divide both sides by 2
∴ W = 15 feet
∴ The actual width is 15 feet
∵ The area of the rectangle is A = L × W
∵ L = 43 feet
∵ W = 15 feet
→ Substitute them in the rule of the area
∴ A = 43 × 15
∴ A = 645 feet²
∴ The actual area is 645 square feet