Question

The drawing plan for an art studio shows a rectangle that is 17.2 inches by 6 inches. The scale in the plan is 2 in.: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet, the width is feet, and the area is square feet.

Answer 1

Answer:

The length is 43 feet, the width is 15 feet, and the area is 645 square feet

Step-by-step 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