Find the area of the shape

The area of the shape is 12 units squared.

12 units²

Step-by-step explanation:

We can see this shape has 3 different shapes within it

→ A large triangle

→ A small triangle

→ A square

We need to work out the area's of the shape's separately and then add them all together but first we need to know the formula for the area of a triangle and a square

→ Triangle area is 0.5 × Base × Height

→ Square area is Length × Width

First let's work out the area of the small triangle, we can see it has a base of 2 and height of 2 so let's substitute that into the formula

0.5 × Base × Height

0.5 × 2 × 2 = 2

Now the area of the square, it has length of 2 and a height of 2 so

Length × Width

2 × 2 = 4

Finally the area of the large triangle, it has a base of 6 and a height of 2

0.5 × Base × Height

0.5 × 6 × 2 = 6

Now we add all the area's together 2 + 4 + 6 = 12 units²

The area of the shape is 12 units²

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step-by-step explanation: