Question

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

Answer 1

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

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

here a and b is the parallel sides

        h is the height of trapezium

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

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

(6+3)(9)

(9)(9)

81

Area of the polygon

25 + 81

106

Answer 2

Answer with step-by-step explanation:

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