A) can be split up into 3 rectangles (as seen in the picture). Then you can work out the area of each individual rectangle.
5 × 2 = 10 units²
4 × 2 = 8 units²
2 × 2 = 4 units²
Now you just need to add up all the individual areas to get the total area:
10 + 8 + 4 = 22 units²
For B), you just need to work out the total area and subtract the two areas of the smaller squares.
Area of big square: 6 × 6 = 36 units²
Area of smaller square: 2 × 2 = 4 units²
Because there are 2 of the same smaller squares, you need to multiply the area of the smaller square by 2:
4 × 2 = 8 units².
Now you just subtract 8 from 36:
36 - 8 = 28 units².
For C), you can split it up into two right angle triangles and a rectangle.
The area of the rectangle is 2 × 6 = 12 units², and the area of one of the right angle triangles is (3 × 2) ÷ 2 = 3 units². However, as there are two right angle triangles, you need to multiply the area of the triangle by 2 to get 3 × 2 = 6 units². Now just add the areas up and you get:
12 + 6 = 18 units².
