Question

triangle has the same area as 2 small triangles. whats the area of this figure? the area of the figure is \square square units.

Explanation:

Step1: Define small triangle area

Let area of 1 small triangle = $x$ square units.

Step2: Relate square to triangles

1 square = 2 small triangles, so area of 1 square = $2x$.

Step3: Count shapes in figure

• Yellow triangles: 2 (total area: $2x$)
• Green triangles: 3 (total area: $3x$)
• Blue squares: 2 (total area: $2\times2x=4x$)

Step4: Calculate total area

Total area = $2x + 3x + 4x = 9x$.
Since 1 square = $2x$ = 2 square units, $x=1$.
Substitute $x=1$: Total area = $9\times1=9$

Answer:

9