Mastering Perimeter & Area (Rectangles/Triangles)
Mathematics
GCSE Higher
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About This Worksheet
A worksheet covering Perimeter & Area for Rectangles and Triangles, designed for GCSE Higher students. It includes procedural questions and problem-solving exercises to deepen understanding.
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Mastering Perimeter & Area (Rectangles/Triangles)
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key formulas:
- Perimeter of rectangle: P = 2(length + width)
- Area of rectangle: A = length × width
- Perimeter of triangle: sum of all sides
- Area of triangle: ½ × base × height
Use these formulas to answer the questions below.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A rectangle has a length of 12 cm and a width of 7 cm. Calculate its perimeter.
[2 marks]2.
Find the area of a rectangle with length 15 m and width 9 m.
[2 marks]3.
Calculate the perimeter of a triangle with sides of 8 cm, 15 cm, and 17 cm.
[2 marks]4.
A triangle has a base of 10 cm and a height of 6 cm. Find its area.
[2 marks]5.
A rectangle measures 20 cm by 5 cm. What is its area?
[2 marks]6.
A triangle has sides of 9 cm, 12 cm, and 15 cm. Is it a right-angled triangle? Show your reasoning.
[3 marks]7.
A rectangle's length is 8 m, and its area is 48 m². Find its width.
[3 marks]8.
Calculate the area of a triangle with a base of 14 cm and a height of 9 cm.
[2 marks]9.
A rectangle has a perimeter of 50 meters. If its length is 15 meters, what is its width?
[3 marks]10.
A triangular plot of land has sides measuring 20 m, 21 m, and 29 m. Find its perimeter and determine if it is a scalene triangle.
[3 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet