Q&A for How to Visualize Square Feet

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How do you picture square feet?

Mario Banuelos, PhD
Associate Professor of Mathematics
Mario Banuelos is an Associate Professor of Mathematics at California State University, Fresno. With over eight years of teaching experience, Mario specializes in mathematical biology, optimization, statistical models for genome evolution, and data science. Mario holds a BA in Mathematics from California State University, Fresno, and a Ph.D. in Applied Mathematics from the University of California, Merced. Mario has taught at both the high school and collegiate levels.

Mario Banuelos, PhD

Associate Professor of Mathematics

Expert Answer

It helps to hold up a piece of paper or a tile that's 1 foot by 1 foot. Once you can picture how big one square foot is, you can use that to visualize the rest of the space.

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Question

What are the dimensions of a rug that is 11 square feet?

Donagan

Top Answerer

Assuming a rectangular rug, the dimensions can be any two numbers whose product is 11: for example, 3 feet by 3 2/3 feet, or 4 feet by 2¾ feet.

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Question

So that I can get an idea of what is 4 square feet, can you show me the dimensions?

Donagan

Top Answerer

Four square feet can be visualized as a square with sides two feet in length or a rectangle four feet long and one foot wide.

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Question

What is 32 square feet in inches?

Donagan

Top Answerer

There are 12x12 or 144 square inches in a square foot, so multiply 32 by 144.

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Question

What are the various room dimensions that 40 square feet of hardwood will cover?

Donagan

Top Answerer

There is an almost infinite number of dimension combinations that would multiply to 40. The most likely is 5 x 8, but also 4 x 10, 6 x 6-2/3, 7 x 5.7, and many others.

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What would be the dimension of 850 square feet?

Donagan

Top Answerer

The dimensions can be any two numbers that multiply together to make 850. Divide any number (the divisor) into 850. The quotient and the divisor will be one pair of dimensions that will work. Examples: 85 and 10, or 50 and 17.

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How big of a room will 115 square feet cover?

Donagan

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A 115-square-foot room might measure 5' x 23' or 10' x 11½' (or any number of other combinations).

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