On a set of blueprints for a new home, the contractor has established a scale of 0.5in : 10 ft. What are the dimensions on the blueprints of a bedroom that will be 18 feet by 16 feet.

Answer:The dimensions on the blueprints are 0.9 inches and 0.8 inchesStep-by-step explanation:* Lets explain the relation between the drawing dimensions and  the real dimensions- A scale drawing make a real object with accurate sizes reduced  or enlarged by a certain amount called the scale- Ex: If the scale drawing is 1 : 10, so anything drawn with the size of  1 have a size of 10 in the real so a measurement of 15 cm on the  drawing will be 150 cm on the real- In a scale drawing, all dimensions have been reduced by the same  proportion* Lets solve the problem- On a set of blueprints for a new home, the contractor has   established a scale of 0.5 in : 10 ft∵ The drawing scale ratio must be in same unit∴ Change the feet to inch∵ 1 foot = 12 inches∴ 10 feet = 10 × 12 = 120 inches∴ The scale is 0.5 inches : 120 inches- Simplify the scale by multiply it by 2 ∴ The scale is 1 in : 240 in- Lets find the dimensions on the blueprints∵ The real dimensions are 18 feet and 16 feet- Change the feet to inches∴ 18 feet = 18 × 12 = 216 inches∵ 16 feet = 16 × 12 = 192 inches∵ The scale is 1 : 240∴ 1/240 = x/216 ⇒ use cross multiplication∴ 240 x = 216 divide both sides by 240∴ x = 0.9 inch∵ The scale is 1 : 240∴ 1/240 = y/192 ⇒ use cross multiplication∴ 240 y = 192 divide both sides by 240∴ y = 0.8 inch* The dimensions on the blueprints are 0.9 inches and 0.8 inches