Mastering Perimeter & Area (Rectangles/Triangles)
Mathematics
GCSE Higher
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About This Worksheet
A worksheet covering Perimeter & Area (Rectangles and Triangles) designed for GCSE Higher students to develop understanding and application skills.
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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 a rectangle = 2(length + width); Area of a rectangle = length × width; Area of a triangle = ½ × base × height.
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 the rectangle with length 15 cm and width 9 cm.
[2 marks]3.
Calculate the perimeter of a triangle with sides 8 cm, 15 cm, and 10 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's length is twice its width. If the perimeter is 48 cm, find the length and width.
[3 marks]6.
A triangle has a base of 14 cm and an area of 49 cm². Find its height.
[3 marks]7.
Calculate the total surface area of a rectangular prism with length 10 cm, width 4 cm, and height 6 cm.
[3 marks]8.
A right-angled triangle has legs of 9 cm and 12 cm. Find its hypotenuse and the area.
[4 marks]9.
A rectangular garden is 25 meters long and 10 meters wide. A path of uniform width surrounds it, increasing the perimeter by 20 meters. Find the width of the path.
[4 marks]10.
A triangular plot of land has a base of 30 meters and a height of 12 meters. A farmer wants to fence the entire area and also needs to include an extra 15 meters for gates. How much fencing is needed?
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet