Video: Finding the Area of a Shape by Counting the Squares

Find the area of the shape given that each square represents 1 square centimeter.

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Video Transcript

Find the area of the shape given that each square represents one square centimeter.

We can work out the area of the shape by counting the squares in the figure. There are 11 complete squares in the shape. These have an area of 11 square centimeters. There are four triangles shaded that are half of a square. Four multiplied by one-half is equal to two. Therefore, these four pieces have an area of two square centimeters. Finally, we have the square at the bottom of the shape. One-half of the square is shaded. As one-half is equal to the decimal 0.5, we have an area of 0.5 square centimeters inside the shape. 11 plus two is equal to 13, and adding 0.5 gives us 13.5. The area of the shape is therefore equal to 13.5 square centimeters.

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