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djverab [1.8K]
3 years ago
12

Find the area of the composite figure. Show your work. What is the area of the figure?​

Mathematics
1 answer:
mixer [17]3 years ago
4 0

Answer:

46 units²

Step-by-step explanation:

The figure can be decomposed into 2 triangles and a rectangle.

Area of rectangle = L*W

W = 4

L = 8

Area = 32 units²

Area of triangle 1:

Area = ½(b*h)

b = 3

h = 4

Area = ½*3*4

Area = 6 in.

Area of triangle 2:

b = 4

h = 4

Area = ½*4*4

Area = 8 units

✅Area of the figure = 32 + 6 + 8

= 46 units²

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