NRICH: Linear Area

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NRICH: Linear Area

Find the area of the triangle enclosed by these lines.

The lines y=−2, y=4x+6 and x+y=6 enclose a triangle.

Find the area of the triangle.

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 11 to 14

NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Functions & Graphs, Geometry, Linear Equations
Middle School, High School, Educator
6th Grade, 7th Grade, 8th Grade, 9th Grade
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NRICH: Linear Area

Find the area of the triangle enclosed by these lines.

The lines y=−2, y=4x+6 and x+y=6 enclose a triangle.

Find the area of the triangle.

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 11 to 14

NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Functions & Graphs, Geometry, Linear Equations
Middle School, High School, Educator
6th Grade, 7th Grade, 8th Grade, 9th Grade

What are you looking for?

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NRICH (University of Cambridge)

Website URL

Type of Resource

Challenge

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