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kotegsom [21]
2 years ago
12

This for composite figures

Mathematics
1 answer:
Vinil7 [7]2 years ago
7 0

Answer:

  114 square meters

Step-by-step explanation:

The figure decomposes into two congruent trapezoids, each with bases 15 m and 4 m, and height 6 m. The area formula for a trapezoid is ...

  A = 1/2(b1 +b2)h

__

Each trapezoid will have an area of ...

  A = 1/2(15 +4)(6) = 57 . . . . square meters

The figure's area is twice that, so is ...

  figure area = 2 × 57 m² = 114 m²

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A \greenD{7\,\text{cm} \times 5\,\text{cm}}7cm×5cmstart color #1fab54, 7, start text, c, m, end text, times, 5, start text, c, m
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The area of the shaded region is 148.04 cm².

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The radius of the circle is, r = 6 cm.

Compute the area of the shaded region as follows:

Area of the shaded region = Area of rectangle - Area of circle

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