Finding the area of a rectangle means we’re finding how many unit squares make up the rectangle. The following video will go over how to do this.
\(Area = Length \times Width\)
We can only find the area if the two sides are measured in the same units and the units of our area will be in units squared (ex: \(inches^2, cm^2, \)etc.) because we are counting the number of unit squares within our area.
Real World Application
Remember when we learned about exponents and we said “squared” when a number was to the power of 2? That is because of area. When you find the area of a square, you multiply the length and width, which are the same, so you end up with the side length to the 2 power, or the side length squared.
- Each side of a small square mirror is 12 cm long. Find the area of the mirror. (Solution
- A rectangular rug measures 4 yd by 3 yd. Find the area of the rectangle defined by this rug. (Solution
- The top of a rectangular desk has a length of 83 cm and a width of 33 cm. Find the area of the rectangle defined by this desk. (Solution
- A dollar bill that is rectangular in shape has a length of 6 in and a width of 3 in. Find the area of the rectangle defined by this dollar bill. (Video Solution
- The lengths of two adjacent sides of a rectangular envelope are 225 mm and 28 mm. Find the area of the rectangle defined by this envelope. (Video Solution
- A rectangular garage door has a length of 16 ft and a height of 7 ft. Find the area of the rectangle defined by this garage door. (Solution