NRICH: Length, Width and Area

The area of a rectangle is 225 square units. Find its width.

Its length is 16 more than its width.

Find its width.

This problem is taken from the World Mathematics Championships

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Age 14 to 16

STEAM Topics Resource Audience Grade Level Tags

Math Topics

Addition & Subtraction, Quadratic Equations

High School

9th Grade, 10th Grade, 11th Grade

NRICH, Quadratic Expressions

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NRICH (University of Cambridge)

NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.

https://nrich.maths.org/

NRICH: Topics in Secondary Mathematics

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Do you enjoy thought-provoking questions? If so, this is the place for you.

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NRICH: Short problems for Starters, Homework and Assessment

NRICH (University of Cambridge)

The links below take you to a selection of short problems based on UKMT junior and intermediate mathematical challenge questions.

https://nrich.maths.org/shorts

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