l × w: Error Analysis & Misconceptions
Mathematics
Year 9
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding, practicing, and correcting misconceptions related to calculating the area of rectangles using l × w.
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l × w: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Introduction
Read the key concept below.
1.
The area of a rectangle is found by multiplying its length (l) by its width (w). The formula is: Area = l × w. Ensure you measure accurately and apply the correct units.
[2 marks]B
Fluency & Practice
Answer all questions. Show calculations where appropriate.
1.
Calculate the area of a rectangle with length 12 cm and width 5 cm.
[2 marks]2.
A rectangle has an area of 48 m². If its length is 8 m, what is its width?
[2 marks]3.
Find the area of a rectangle measuring 9 m in length and 4 m in width.
[2 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems and explain your reasoning.
1.
A garden is in the shape of a rectangle. Its length is twice its width. The total area of the garden is 192 m². Find the length and width of the garden.
[4 marks]2.
A rectangular swimming pool has a length of 25 meters and a width of 10 meters. A walkway surrounds the pool, increasing the total area by 180 m². Find the width of the walkway.
[4 marks]3.
A farmer measures a rectangular plot of land to be 50 meters long and 30 meters wide. However, he accidentally recorded the length as 45 meters. If the actual area is 1500 m², what is the correct length?
[3 marks]D
Error Analysis & Misconceptions
Identify the mistake in each scenario and correct it.
1.
A student calculates the area of a rectangle with length 14 cm and width 6 cm and gets 84 cm². The student then concludes that the length must be 14 and width 6. What is the mistake, and what is the correct area?
[3 marks]2.
A student claims that multiplying length 10 m by width 0.5 m gives an area of 5 m². Is this correct? Explain.
[3 marks]3.
A student mistakenly uses the perimeter formula (2l+2w) to find the area. Identify the mistake and explain the correct approach.
[3 marks]E
Mixed Review & Challenge
Answer these questions to challenge your understanding of l × w.
1.
Construct a rectangle with a length of 15 units and a width of 4 units on the grid. Calculate its area.
[3 marks]2.
Plot the graph of y=2x for x values from 0 to 5. How does this relate to rectangles with dimensions involving 2x?
[4 marks]3.
A rectangle has a length that is 3 times its width. If the area is 270 m², find the length and width.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet