l × w: Challenge & Extension
Mathematics
Grade 7
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating the area of rectangles using length × width, including practice, problem solving, real-world contexts, and extension challenges.
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l × w: Challenge & Extension
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the area of a rectangle with length 12 cm and width 7 cm.
[2 marks]2.
A rectangle has a length of 15 meters and an area of 180 square meters. Find its width.
[2 marks]3.
Construct a rectangle with a width of 8 cm and an area of 96 cm². What should be its length?
[2 marks]4.
In a rectangular garden, the length is 20 meters and the width is 5 meters. Calculate the area.
[2 marks]5.
A rectangle has an area of 135 square meters and the length is 9 meters. Find its width.
[2 marks]6.
Plot on the grid a rectangle with length 10 units and width 4 units. Label its area.
[3 marks]7.
Construct a rectangle with a perimeter of 48 units, where the length is 2 times the width. Find the dimensions.
[4 marks]B
Problem Solving & Reasoning
Solve these multi-step problems. Show all working clearly.
1.
A rectangular swimming pool has a length of 25 meters and a width of 10 meters. Due to a renovation, the length is increased by 4 meters and the width by 2 meters. What is the new area? Explain your steps.
[4 marks]2.
A farmer wants to fence a rectangular field that is 50 meters long and 30 meters wide. If the fencing costs $5 per meter, what is the total fencing cost? Show your calculations.
[4 marks]C
Real-world Applications
Apply your understanding to these real-world scenarios.
1.
A billboard measures 8 meters in height and 12 meters in width. If a painter needs to paint the entire surface, how much area will they cover?
[2 marks]2.
A rectangular garden has an area of 150 square meters and the length is 25 meters. Find the width. How might this information help a gardener?
[3 marks]D
Challenge & Extension
Attempt these challenging problems for extension. Use reasoning and advanced calculations.
1.
Construct a rectangle on the grid with an area of 120 square units. If the width is 8 units, what should be the length? Verify your answer with calculations.
[3 marks]2.
A rectangle has a length that is 3 times its width. If the area is 180 cm², find the dimensions. Then, explain why your solution makes sense.
[4 marks]E
Mixed Review & Error Analysis
Review the following common mistake and correct it.
1.
A student calculated the area of a rectangle with length 9 units and width 4 units as 36 units², claiming they used length + width instead of multiplication. Identify and explain the mistake, then find the correct area.
[3 marks]2.
A rectangle has a length of 14 units and an area of 140 units². The student claims the width is 10 units. Is this correct? Show your reasoning.
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet