Respuesta :

Answer:

B

Step-by-step explanation:

the figure consists of 4 triangles and a central square

area of triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

the left an right triangles are congruent as are the top and bottom ones.

area of top / bottom = 2 × [tex]\frac{1}{2}[/tex] × 2 × 2 = 2 × 2 = 4 units²

area of left/ right = 2 × [tex]\frac{1}{2}[/tex] × 2 × 3 = 2 × 3 = 6 units²

area of central square = 2 × 2 = 4 units²

then

area of figure = 4 + 6 + 4 = 14 units²

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