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.

2 answers
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.

Answers

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: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

Similar Solved Questions

1 answer

While doing yardwork, I noticed tan bumps near the base of a tree trunk. They were about 3cm tall and smooth. The next day, I noticed 7 more bumps; now some were 5cm tall and seemed to have a narrow base and an umbrella-like top. By the end of the week I noticed that my tree had bare patches on its trunk all round the bumpy area.

While doing yardwork, I noticed tan bumps near the base of a tree trunk. They were about 3cm tall and smooth. The next day, I noticed 7 more bumps; now some were 5cm tall and seemed to have a narrow base and an umbrella-like top. By the end of the week I noticed that my tree had bare patches on its ...
1 answer

What is the distance, to the nearest hundredth, from (6, 5) to (−3, −8)?

What is the distance, to the nearest hundredth, from (6, 5) to (−3, −8)?...
1 answer

In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?

In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?...
1 answer

What is 0.8281 rounded to the nearest whole number?

What is 0.8281 rounded to the nearest whole number?...
2 answers

URGENT HELP NEEDED! Which one is it?

URGENT HELP NEEDED! Which one is it?...
1 answer

We know that 9 x 6 = 54 so, which of the following statements are also true?a. 9 is a factor of 6.b. 54 is a multiple of 6.c. 9 is a factor of 54.d. 9 is multiple of 54.

we know that 9 x 6 = 54 so, which of the following statements are also true?a. 9 is a factor of 6.b. 54 is a multiple of 6.c. 9 is a factor of 54.d. 9 is multiple of 54....
1 answer

True or false The theory of plate tectonics is the study of how Earth's surface has remained the same for billions of years

True or false The theory of plate tectonics is the study of how Earth's surface has remained the same for billions of years...
2 answers

Solve for x -14 - 5 = -10x - 45

Solve for x -14 - 5 = -10x - 45...
1 answer

The sum of two numbers is minus 5 by 3 if one of the number is -12 by 3 what is the another number ​

the sum of two numbers is minus 5 by 3 if one of the number is -12 by 3 what is the another number ​...
2 answers

I ate 7/8 of birthday cake.how much of cake has not been eaten?

I ate 7/8 of birthday cake.how much of cake has not been eaten?...
1 answer

ZD, ZE, and ZF are the perpendicular bisectors of ABC. Use that information to find the length of each segment. Not that the figure is not drawn to scale. Given: ZD=44 ZA=87 FC=75 Find: ZC and AC

ZD, ZE, and ZF are the perpendicular bisectors of ABC. Use that information to find the length of each segment. Not that the figure is not drawn to scale. Given: ZD=44 ZA=87 FC=75 Find: ZC and AC...
1 answer

How many MLAs does a party need to have elected in order to establish a majority government?

How many MLAs does a party need to have elected in order to establish a majority government?...
2 answers

Christian Woodruff has $160 to spend on parking and admission to Hershey. The parking will cost $12, and admission tickets will cost $20.50 per person, including tax. Write and solve an equation that can be used to determine the number of people that he can bring to Hershey Park including himself. *

Christian Woodruff has $160 to spend on parking and admission to Hershey. The parking will cost $12, and admission tickets will cost $20.50 per person, including tax. Write and solve an equation that can be used to determine the number of people that he can bring to Hershey Park including himself. *...
2 answers

The calculated yield for iron sulfide was 16.8 grams but the measured yield was 11.6 g what is the percent yield? 2FeBr3+3Na2S=Fe2S3 + 6NaBr

The calculated yield for iron sulfide was 16.8 grams but the measured yield was 11.6 g what is the percent yield? 2FeBr3+3Na2S=Fe2S3 + 6NaBr...
1 answer

Answer asap pleaseeee

answer asap pleaseeee...
1 answer

How to write a sum of numbers as the product of their GCF and another sum?

How to write a sum of numbers as the product of their GCF and another sum?...
1 answer

Solve x^2 + 5x + 6 = 0 mathswatch

solve x^2 + 5x + 6 = 0 mathswatch...
2 answers

The developmental period, when one is an infant, adolescent, or middle-aged person, refers to?

The developmental period, when one is an infant, adolescent, or middle-aged person, refers to?...
2 answers

What is the domain and range of f(x)= |x+6|

what is the domain and range of f(x)= |x+6|...
2 answers

The battle of plassey was fought inA.1757B.1782C.1748D.1764

the battle of plassey was fought inA.1757B.1782C.1748D.1764...

-- 0.037328--