Respuesta :

Answer:

54 units squared

Step-by-step explanation:

You have to divide the shape into simpler shapes such as rectangles and triangles that you can easily find the area of. Then, add those areas together. I divided it into one rectangle and three triangles.

Rectangle 1: length=7 width=6          6(7)=42

Triangle 1: base=6 height=2          1/2(6)2=6

Triangle 2: base=3 height=2          1/2(3)2=3

Triangle 3: base=6 height=1          1/2(6)1=3

Area= R1+T1+T2+T3= 42+6+3+3= 54 units squared

abidemiokin

The area of the given figure is 53.5 square units

Area of an irregular figure

The given irregular figure can be decomposed into a trapezium below and two small triangles at the top.

  • Area of the figure = Area of the trapezium + area of the two rectangles

Get the area of the trapezium:

Area of the trapezium = 1/2(a+b)h

Area of the trapezium = 1/2(9+7)6

Area of the trapezium = 8 * 6

Area of the trapezium = 48 square units

Area of the two triangles = 0.5(BH) + 0.5(bh)

Area of the two triangles = 0.5(1)(5) + 0.5(2)(3)

Area of the two triangles = 2.5+ 3

Area of the two triangles = 5.5 square units

Area of the figure = 48 + 5.5

Area of the figure = 53.5 square units

Learn more on area of irregular figure here: https://brainly.com/question/17713367

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