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koban [17]
3 years ago
10

What is the area of this irregular figure knowing that the formula for the area of a rectangle is l x w.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

9514 1404 393

Answer:

  42 cm²

Step-by-step explanation:

The attachment shows a couple of ways the figure can be considered.

a) Left and Right rectangles that are 5 cm high and 3 cm wide, together with a central rectangle that is 3 cm high and 4 cm wide. Then the total area is ...

  5×3 + 3×4 + 5×3 = 15 + 12 + 15 = 42 . . . . cm²

__

b) An enclosing rectangle that is 5 cm high and 10 cm wide with a cut-out that is 2 cm high and 4 cm wide. Then the total area is ...

  5×10 -2×4 = 50 -8 = 42 . . . . cm²

__

The area of the irregular figure is 42 cm².

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