Area of Polygons

The area of a trapezoid is given by the formula: $$A = \frac{1}{2}(b_1 + b_2)h$$ , where b_1 and b_2 are the lengths of the two parallel sides and h is the height.

The area of a triangle is calculated using the formula: $$A = \frac{1}{2}bh$$ , where b is the base and h is the height.

The area of a parallelogram is given by the formula: $$A = bh$$ , where b is the base and h is the height.

The area of a rectangle is calculated using the formula: $$A = lw$$ , where l is the length and w is the width.

The area of a square is calculated using the formula: $$A = s^2$$ , where s is the length of a side.

The area of a rhombus can be calculated using the formula: $$A = \frac{1}{2}(d_1 \times d_2)$$ , where d_1 and d_2 are the lengths of the diagonals.

The base and height are perpendicular to each other in the context of calculating the area of polygons.

Using the formula $$A = \frac{1}{2}(b_1 + b_2)h$$ , the area is $$A = \frac{1}{2}(10 + 6) \times 4 = 32 m^2$$ .

Using the formula $$A = \frac{1}{2}bh$$ , the area is $$A = \frac{1}{2} \times 8 \times 5 = 20 m^2$$ .

Using the formula $$A = lw$$ , the area is $$A = 12 \times 3 = 36 m^2$$ .