A scale drawing of a square object has a scale of 1 in. : 5 mm. The scale drawing has a length of 2.5 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.

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Question:

A scale drawing of a square object has a scale of 1 in. : 5 mm. The scale drawing has a length of 2.5 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.

Answer:Perimeter and area of drawingPerimeter= 10 InArea = 6.25 In²Perimeter and area of objectPerimeter = 51.836 mmArea = 167.936 mm²Step-by-step explanation:We are dealing with a square object, so let's talk about the drawing first.The length of one side = 2.5 InPerimeter of square= 4LPerimeter = 4*2.5Perimeter= 10 InArea = L*LArea = 2.5*2.5Area = 6.25 In²Letd note that 1 inch =25.4 millimetresSo 2.5 Inch = 2.5 * 25.42.5 In = 63.5 mm.25.4 mm is to 5mm63.5 mm is to (63.5*5)/24.563.5mm is to 12.959 mmSo the length of actual object is 12.959mmThe perimeter = 4*12.959Perimeter = 51.836 mmArea = 12.959²Area = 167.936 mm²

answer from martin58853

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Answers #2

Answer:The perimeter of the actual object is 50 mm.The area of the actual object is 156.25 mm squareStep-by-step explanation:GivenShape: SquareScale: 1 in : 5 mmLength of Scale Drawing = 2.5 inRequired:- Perimeter of Actual Object- Area of Actual ObjectCalculating the perimeter of the actual objectProvided that the shape is a square;The perimeter of the actual object is calculated byPerimeter = 4 * LengthRecall that the scale is 1 in : 5 mmThis means 1 in on the scale represents 5 mm of the actual measurements of the object.So, if 1 in ≈ 5 mm, then2.5 in ≈ 2.5 * 5 mm2.5 in = 12.5 mmSo, Length = 12.5mmNow, the perimeter of the actual object can be calculated.P = 4 * 12.5mmP = 50mmHence, the perimeter of the actual measurements is 50 mm.Calculating the area of the actual objectThe area of the actual object is calculated byArea = Length * LengthRecall that Length = 12.5 mm as calculated aboveSo,Area = 12.5 * 12.5Area = 156.25 mm squareHence, the area of the actual object is 156.25 mm square

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