In blueprints, an architect's firm drew everything 1/24 of the actual size. The windows will actually measure 4ft by 6ft and doors measure 12ft by 8ft. What are the dimensions of the windows and the doors in the drawing?

Respuesta :

I have no idea what the drawings might be????

The dimension of the windows is ¹/₆ ft by ¹/₄ ft.

The dimension of the doors is ¹/₂ ft by ¹/₃ ft.

Further explanation

Order of Operations in Mathematics follow this following rule :

  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

An architect's firm drew everything 1/24 of the actual size.

[tex]\texttt{Blueprints Scale} = 1 : 24[/tex]

If the windows will actually measure 4ft by 6ft , then

[tex]\texttt{Length of Windows in Blueprints} = \frac{1}{24} \times 4[/tex]

[tex]\texttt{Length of Windows in Blueprints} = \frac{1}{6} ~ \texttt{ft}[/tex]

[tex]\texttt{Width of Windows in Blueprints} = \frac{1}{24} \times 6[/tex]

[tex]\texttt{Width of Windows in Blueprints} = \frac{1}{4} ~ \texttt{ft}[/tex]

If the doors will actually measure 12ft by 8ft , then

[tex]\texttt{Length of Doors in Blueprints} = \frac{1}{24} \times 12[/tex]

[tex]\texttt{Length of Doors in Blueprints} = \frac{1}{2} ~ \texttt{ft}[/tex]

[tex]\texttt{Width of Doors in Blueprints} = \frac{1}{24} \times 8[/tex]

[tex]\texttt{Width of Doors in Blueprints} = \frac{1}{3} ~ \texttt{ft}[/tex]

Conclusion :

The dimension of the windows is ¹/₆ ft by ¹/₄ ft.

The dimension of the doors is ¹/₂ ft by ¹/₃ ft.

Learn more

  • Infinite Number of Solutions : https://brainly.com/question/5450548
  • System of Equations : https://brainly.com/question/1995493
  • System of Linear equations : https://brainly.com/question/3291576
  • Student's Shirt : https://brainly.com/question/909783

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces

Ver imagen johanrusli