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Rectangle side from perimeter and ratio

Side of a rectangle from its perimeter and side ratio

This math skill teaches how to determine the width and height of a rectangle when given its perimeter and the ratio of its sides. Using the formula for perimeter and the side ratio, you solve for one side and then find the other.

Learn rectangle side from perimeter and ratio

Teaching Transcript

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Let's find the width and height of this rectangle, given its perimeter and the ratio between height and width

We know that perimeter is twice the sum of width plus height

We can plug in our numbers, and use twice height as our width

So the perimeter, 24, is equal to 6 times the height

Which means our height is 4

And our width, which is twice that, is 8

Skill Practice

Side of a rectangle from its perimeter and side ratio

Test your understanding of rectangle side from perimeter and ratio by practicing it! Work through the below exercises to use it in practice.