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Rectangle dimensions from area and perimeter

Dimensions of a rectangle from its area and perimeter

This math skill teaches how to find the dimensions of a rectangle when given its area and perimeter. It involves setting up equations based on the formulas for area and perimeter, and then solving these equations to find the lengths of the sides.

Learn rectangle dimensions from area and perimeter

Teaching Transcript

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Given an area and a perimeter, what are the dimensions of this rectangle?

We know that area is width times height, and perimeter is twice the sum of width and height

So we can plug in the numbers that we know. Let's also divide both sides of the perimeter equation by two to simplify a bit

So we are looking for two numbers that multiply to 88 and add to 19. If we try a few options, 11 and 8 are two that work

So our width is 11 and our height is 8

Skill Practice

Dimensions of a rectangle from its area and perimeter

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