l × w: Real-world Applications
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet covering the calculation of area using length × width in real-world contexts and mathematical problems for GCSE Higher students.
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Full preview • 12 questions
l × w: Real-world Applications
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
The area of a rectangle is found by multiplying its length (l) by its width (w): Area = l × w. This formula helps us understand and calculate the space inside rectangular shapes in both mathematical and real-world contexts.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the area of a rectangle with length 8 cm and width 3 cm.
[2 marks]2.
A rectangular garden has a length of 12 meters and a width of 5 meters. What is its area?
[2 marks]3.
Find the area of a rectangle if its length is 15 units and its area is 90 square units. What is the width?
[3 marks]4.
A swimming pool is 25 meters long and 10 meters wide. Calculate its area.
[2 marks]5.
Construct a rectangle with a length of 9 cm and a width of 4 cm. Calculate its area.
[3 marks]6.
A painting is 120 cm wide and has an area of 3600 cm². What is its length?
[3 marks]7.
A rectangular plot of land measures 50 meters in length and 20 meters in width. What is the area?
[2 marks]8.
A rectangular table has a length of 2.5 meters and a width of 1.2 meters. Calculate its area.
[2 marks]9.
The length of a rectangle is 18 cm, and its width is 7 cm. Calculate the area, then identify and correct a common mistake: if a student calculates 18 + 7 instead of 18 × 7, what is the incorrect area?
[4 marks]10.
A rectangular sheet measures 60 cm by 40 cm. A worker cuts out a smaller rectangle measuring 10 cm by 15 cm. What is the remaining area of the sheet?
[4 marks]11.
Challenge: A rectangle has a length that is twice its width. Its area is 288 square units. Find the length and width.
[5 marks]12.
Extended: A farmer wants to build a rectangular pen with an area of 200 square meters. If the length is 10 meters longer than the width, find the dimensions of the pen.
[5 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet