If the dimensions of a room are 10 ft. by 20 ft., what is its approximate area in square meters?

Question:

If the dimensions of a room are 10 ft. by 20 ft., what is its approximate area in square meters?

The Area of a Rectangle:

A rectangle is a figure in two-dimensional that has four sides. The opposite sides in a rectangle are equal, and each of the four interior angles is equal to 90 degrees. We calculate the area of a rectangle using the formula {eq}A = l\times w {/eq}.

Answer and Explanation:


Let's start by converting the room dimensions from feet to meters.

Recall that {eq}1\, ft \approx 0.3048\, m {/eq}.

Therefore:

  • {eq}10\, ft \approx 0.3048\, m\times 10 = 3.048\, m {/eq}
  • {eq}20\, ft \approx 0.3048\, m\times 20 = 6.096\, m {/eq}

Therefore, the area of the room in square meters is approximately equal to:

  • {eq}A \approx 3.048\, m\times 6.096\, m {/eq}
  • {eq}A \approx \boxed{18.58\, m^2} {/eq}

Learn more about this topic:

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Measuring the Area of a Rectangle: Formula & Examples

from Geometry: High School

Chapter 8 / Lesson 7
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