Respuesta :

tonb

Answer:

B. 84 m²

Step-by-step explanation:

If you view it as a triangle rotated to the left, it would have a base of 8+8=16 and a height of 12, so its area would be 16*12/2 = 96 m². But a piece is missing. What is missing is a little triangle with base 4 and height 6 and area 4*6/2 = 12.

So the resulting area is 96-12 = 84 m²

Answer:

B

Step-by-step explanation:

The figure is composed of a right triangle and a trapezium.

area of Δ = [tex]\frac{1}{2}[/tex] × 12 × 8 = 6 × 8 = 48 m²

area of trapezium = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the height and a, b the parallel bases

Here h = 4, a = 6 and b = 12, thus

area = [tex]\frac{1}{2}[/tex] × 4 × (6 + 12) = 2 × 18 = 36 m²

Total area = 48 + 36 = 84 m² → B

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