Question

The blueprint of a pool has a scale of 2 inches equals 7 feet. The scale drawing is shown below. the length is 20 and the width is 10 Part A What are the actual dimensions of the pool? Enter your answers in the boxes. Blueprint: 10 in. Actual: ft Blueprint: 20 in. Actual: ft Part B How much would it cost to buy a cover for the pool that costs $0.30 per square foot? Enter your answer in the box. $

Answer 1

Part A:

Blueprint 10 inches ⇒ Actual 35 feet

Blueprint 20 inches ⇒ Actual 70 feet

Part B:

The cost of the cover is $857.5

Explanation:

Part A:

∵ The drawing scale is 2 inches for 7 feet

∵ The length = 20 inches and the width = 10 inches

∴ The actual length = (20 × 7) ÷ 2 = 70 feet

∴ The actual width = (10 × 7) ÷ 2 = 35 feet

Part B:

∵ The cost per square foot = $0.35

∵ The area of the pool = 70 × 35 = 2450 feet ²

∴ The cost of the cover = 2450 × 0.35 = $857.5