Polygons, circles and discs

Areas and perimeters

Types of exercises: side of a figure from its perimeter, sides of an isosceles triangle from its perimeter, sides of an isosceles triangle - all cases.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Problem

An isosceles triangle has a perimeter of 20 cm, and one of its sides is 6 cm long. How long can each of its two equal sides be?

2

Problem

The perimeter of a parallelogram is 48 cm and one of its sides is 12 cm. How many centimetres is the neighbouring side?

3

Problem

The perimeter of an isosceles triangle is 27 cm and its base is 5 cm. How many centimetres is each of the equal sides?

4

Problem

An isosceles triangle has a perimeter of 49 cm, and one of its sides is 19 cm long. How long can its base be?

5

Problem

The perimeter of a square is 112 cm. How many centimetres is its side?

6

Problem

The perimeter of an isosceles triangle is 57 cm and one of its equal sides is 17 cm. How many centimetres is the base?

7

Problem

An isosceles triangle has a perimeter of 56 cm, and one of its sides is 2 cm long. How long can its base be?

8

Problem

The perimeter of an equilateral triangle is 63 cm. How many centimetres is its side?

9

Problem

The perimeter of an isosceles triangle is 41 cm and one of its equal sides is 12 cm. How many centimetres is the base?

10

Problem

An isosceles triangle has a perimeter of 10 cm, and one of its sides is 4 cm long. How long can each of its two equal sides be?

This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.

PhiBoard is a free online whiteboard for maths

These exercises are part of it. On the board itself you can plot a function, write a formula in LaTeX, or solve a problem together with a teacher or a friend - live, in the browser. Our app is completely free.

Create a free account
See what the board can do
PhiBoard

A modern, interactive board for study and work. Create, teach and collaborate - completely free.

PhiBoard

Tools

Capabilities

Knowledge base

Support

FAQ

Our mission

Contact

More

Our goalFor schoolsNewsOur coursesExercise bankWorksheets

Documents

TermsPrivacy policy

office@phiboard.com

Support the project

© 2026 PhiBoard. All rights reserved.

Online math whiteboardOnline tutoring whiteboardWhiteboard for teachersFunction graphs online

We Use Cookies

To improve the quality of our services, we use cookies. Cookies help us tailor our website to your preferences, analyze how you use the site, and provide a better user experience. By accepting cookies, you consent to their use for optimizing functionality and content on the site.

We use cookies to keep the site working and to improve it. Choose which ones you accept.

Areas and perimeters - exercises with solutions (Polygons, circles and discs) | PhiBoard