Question Video: Calculating the Area of a Shape by Counting Square Units | Nagwa Question Video: Calculating the Area of a Shape by Counting Square Units | Nagwa

Question Video: Calculating the Area of a Shape by Counting Square Units

Find the area of the shape by counting the squares.

01:36

Video Transcript

Find the area of the shape by counting the squares.

We notice that the whole of the shape apart from the bottom right corner contain complete squares. The top section of the shape has 24 squares as shown. A quicker way of doing this would be to notice that there are eight squares going across and three squares going down. We know that eight multiplied by three is 24. Therefore, there must be 24 squares in this part of the shape.

The middle section of the shape has 28 squares. This middle section has 14 squares going across and two squares going down. We know that 14 multiplied by two is 28. The bottom rectangle has 22 squares. This is because 11 multiplied by two is 22.

We now need to consider the end section, which is a triangle. The top and bottom section would fit together to make one square, likewise the middle two sections. This means that the end part of the shape, which is a triangle, would be equal to two squares.

To work out the total area we need to add 24, 28, 22, and two. This gives us a total of 76. The area of the shape is 76 square units.

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