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Area of a a parallelogram

Area of a a parallelogram. In a parallelogram, the height is a segment perpendicular to both bases. If a diagonal is drawn in a parallelogram, 2 identical triangles are formed.

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Area of a a parallelogram

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  1. Area of a a parallelogram In a parallelogram, the height is a segment perpendicular to both bases

  2. If a diagonal is drawn in a parallelogram, 2 identical triangles are formed.

  3. The area of a parallelogram is twice the area of one of the triangles, so an expression to find the area of a parallelogram could be written • A = 2 (1/2 bh) which simplifies to • A = bh

  4. Area of a parallelogram • A = bh • Where b is the length of the base and h is the perpendicular height

  5. Since rectangles, rhombuses, and squares are all parallelograms, the area of these shapes can also be found using the same formula • A = bh

  6. Find the area of each of the following: • Square rectangle 3 yd. 12 in. 22 in. 3 yd. parallelogram 15 ft 9 ft. 8 ft.

  7. Trapezoid • A trapezoid is a quadrilateral with exactly 1 pair of parallel sides • The height of the trapezoid is the a segment that is perpendicular to both parallel sides of the trapezoid- these parallel sides are the bases- b1 and b2 b1 h b2

  8. Area of a trapezoid • A = 1/2 (b1 + b2 ) h • Where b1 and b2 are the bases and h is the perpendicular height

  9. Finding areas of trapezoids 28 in. 17 in. 6 in. 12 in. 24 in. 20 in

  10. Rhombus • A rhombus's diagonals are perpendicular and bisect each other

  11. Area of a rhombus • Since a rhombus is a parallelogram, you can use the formula for parallelogram • A = bh • Or • You can use the diagonals formula • A = 1/2 d1 d2 • Where d1 and d2 represent the diagonals of the rhombus

  12. Find the area of the rhombus • Use the parallelogram formula or the diagonal formula 30 in 6 ft 11 in. 5 ft

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