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Side of a rectangle from area and ratio

Side of a rectangle from its area and side ratio

This math skill teaches how to determine the dimensions of a rectangle when given its area and a relationship between the width and height. Specifically, it addresses solving for the rectangle's height and width when the width is twice the height.

Learn side of a rectangle from area and ratio

Teaching Transcript

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The rectangle has an area of 18, so let's find the width and height

It will be simpler to work with a width of twice the height, instead of a height that is half the width, and we can see that this is the exact same thing

Area is width times height, and let's use a width of two times height, since we know that's what width is equal to.

Simplifying a bit, we divide both sides by 2 and multiply the heights together to get height squared

So if our height squared is 9, the height must be 3

Which means our width is twice that, or 6

Skill Practice

Side of a rectangle from its area and side ratio

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