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ozzi
3 years ago
12

What is the area of the figure? Explain.

Mathematics
1 answer:
Dominik [7]3 years ago
7 0

Answer:

  24 cm²

Step-by-step explanation:

The rectangular section on the right is 8 - 4 = 4 cm wide.

It is 3 + 1.5 = 4.5 cm tall.

The area of the rectangular section is ...

  A = LW

  A = (4.5 cm)(4 cm) = 18 cm²

__

The triangular section on the left is 4 cm wide and 3 cm high. Its area is ...

  A = 1/2bh

  A = 1/2(4 cm)(3 cm) = 6 cm²

The total shaded area is the sum of the areas of the triangular section and the rectangular section:

  area = 18 cm² +6 cm² = 24 cm² . . . area of the figure

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