Respuesta :
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 :
- Parentheses
- Exponents
- Multiplication and Division
- 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
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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
