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Direct Messages - SEQTA Le
Assessment Master - Exam Wi
assess.scsa.wa.edu.au/engine/index.php/lms/index
School Curriculum
and Standards
Authority
Numeracy
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40 of 45
Betty uses a diagram, with a scale of 1:20, to calculate the area of her bathroom.
Question 37
Question 38
Question 39
Question 40
Question 41
Question 42
The diagram is 
15cm long and 
10cm wide. What is the area, in square metres, of Betty's actual bathroom?
Question 43
Question 44
150 square metres
Question 45
30 square metres
Confirmation
10 square metres
6 square metres
Content copyright WA School Curriculum and Standards Authority 2024
a)
Assessment
Copyright 
o+ SoNET Systems Pty Ltd. 2024
m
Master

Direct Messages - SEQTA Le\newlineAssessment Master - Exam Wi\newlineassess.scsa.wa.edu.au/engine/index.php/lms/index\newlineSchool Curriculum\newlineand Standards\newlineAuthority\newlineNumeracy\newline() 00:2323:5959 / 00:5050:0000\newline3175162431751624\newline4040 of 4545\newlineBetty uses a diagram, with a scale of 11:2020, to calculate the area of her bathroom.\newlineQuestion 3737\newlineQuestion 3838\newlineQuestion 3939\newlineQuestion 4040\newlineQuestion 4141\newlineQuestion 4242\newlineThe diagram is 15 cm 15 \mathrm{~cm} long and 10 cm 10 \mathrm{~cm} wide. What is the area, in square metres, of Betty's actual bathroom?\newlineQuestion 4343\newlineQuestion 4444\newline150150 square metres\newlineQuestion 4545\newline3030 square metres\newlineConfirmation\newline1010 square metres\newline66 square metres\newlineContent copyright WA School Curriculum and Standards Authority 20242024\newlinea)\newlineAssessment\newlineCopyright \oplus SoNET Systems Pty Ltd. 20242024\newlinem\newlineMaster

Full solution

Q. Direct Messages - SEQTA Le\newlineAssessment Master - Exam Wi\newlineassess.scsa.wa.edu.au/engine/index.php/lms/index\newlineSchool Curriculum\newlineand Standards\newlineAuthority\newlineNumeracy\newline() 00:2323:5959 / 00:5050:0000\newline3175162431751624\newline4040 of 4545\newlineBetty uses a diagram, with a scale of 11:2020, to calculate the area of her bathroom.\newlineQuestion 3737\newlineQuestion 3838\newlineQuestion 3939\newlineQuestion 4040\newlineQuestion 4141\newlineQuestion 4242\newlineThe diagram is 15 cm 15 \mathrm{~cm} long and 10 cm 10 \mathrm{~cm} wide. What is the area, in square metres, of Betty's actual bathroom?\newlineQuestion 4343\newlineQuestion 4444\newline150150 square metres\newlineQuestion 4545\newline3030 square metres\newlineConfirmation\newline1010 square metres\newline66 square metres\newlineContent copyright WA School Curriculum and Standards Authority 20242024\newlinea)\newlineAssessment\newlineCopyright \oplus SoNET Systems Pty Ltd. 20242024\newlinem\newlineMaster
  1. Calculate dimensions: Calculate the actual dimensions of the bathroom based on the scale. The scale is 1:201:20, meaning each cm on the diagram represents 2020 cm in reality.\newlineActual length = 15cm×20=300cm15 \, \text{cm} \times 20 = 300 \, \text{cm},\newlineActual width = 10cm×20=200cm10 \, \text{cm} \times 20 = 200 \, \text{cm}.
  2. Convert to meters: Convert the actual dimensions from centimeters to meters since 11 meter == 100100 centimeters.\newlineActual length in meters == 300300 cm ÷\div 100100 == 33 meters,\newlineActual width in meters == ==00 cm ÷\div 100100 == ==44 meters.
  3. Calculate area: Calculate the actual area of the bathroom in square meters.\newlineArea = length×width=3m×2m=6square meters.\text{length} \times \text{width} = 3 \, \text{m} \times 2 \, \text{m} = 6 \, \text{square meters}.

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