What is the area of this figure?

Mathematics

1 answer:

nignag [31]3 years ago

5 0

Answer:

44 square units

Step-by-step explanation:

The area of the 2 upper triangles is:

2 * ((1/2) * b * h) = 2 * ( (1/2) * 4 * 3) = 2 * 6 = 12

The area of the rectangle in the middle of the figure is:

b * h = 8 * 3 = 24

The area of the lower triangle is:

1/2 * b * h = 1/2 * 2 * 8 = 8

The area of the composite figure is:

Area of the 2 upper triangles + area of the rectangle + the area of the lower triangle = 12 + 24 + 8 = 44 square units (area is always given in square units)

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Explanation:
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Given:
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$\frac{6(n^2 + 2)}{3}$ ;

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Rewrite the expression; substituting "3" for all values of "n" ; as follows:

→ $\frac{6(3^2+2)}{3}$ ;

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