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Neko [114]
3 years ago
10

Find the area of the left polygon and find the area of the right polygon

Mathematics
2 answers:
charle [14.2K]3 years ago
6 0

Answer:

106 m²

Step-by-step explanation:

we can see in the figure that it is made up of one square and one trapezium

Formula to calculate the area of this polygon

Area of square + Area of trapezium

Area of square

side²

5²

25

Area of trapezium

\frac{a+b}{2}(h)

<em>here a and b is the parallel sides</em>

<em>         h is the height of trapezium </em>

\frac{6+3}{2}(21-3)

\frac{6+3}{2}(18)

(6+3)(9)

(9)(9)

81

Area of the polygon

25 + 81

106

natulia [17]3 years ago
6 0

<u>Answer with step-by-step explanation:</u>

We are to find the area of the shaded region which we can break down into smaller shapes and make it easier to find their areas.

We have a small square at the left side with side length 3 meter. At the right side, we have a rectangle and a triangle.

Area of left polygon = 3 \times 3 = 9 m

Area of right polygon = Area of rectangle + Area of triangle

Area of right polygon = [(21-3) \times 3] + [\frac{1}{2} \times (21-3) \times 3] = 54 + 27 = 81 m

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