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Area of a triangle and parallelogram
The document explains how to calculate the area of triangles and parallelograms, detailing formulas involving base and height measurements. Examples illustrate finding area and determining unknown dimensions, with specific cases provided for both shapes. Additionally, evaluative questions encourage practice in applying the area formulas for various scenarios.
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Area of a triangle and parallelogram
- 1. Area of atriangle and parallelogram STANDARD : 7TH
- 2. • The areaof any shape is a measure of the 2 dimensional space that it covers. • Area is measured in squares – e.g. square cm, square meters and square km.
- 4. What is thearea L=length H=height of this parallelogram? W=width
- 5. PARALLELOGRAM What isthe area L=length H=height of this parallelogram? W=width CUT HERE
- 6. What is thearea of this parallelogram? Move and paste Here B= base H=height This Is ( like) a rectangle obtained from Parallelogram Area of Rectangle = Area of parallelogram
- 7. Area of Rectangle=Base x Height (perpendicular height H) B= base H=height L=length B = base H=height
- 8. Find the areaof parallelogram whose base is 30 cm and height is 20cm Suppose ABCD is a parallelogram Given : l ( BC ) = 30 cm , l ( AE ) = 20 cm To find out : A ( )ABCD Area of Parallelogram= Base x Height A B D 20 cm E C A ( )ABCD = l ( BC ) × l ( AE ) 30 cm = 30cm× 20cm = 600 sq cm Solution : The area of parallelogram is 600 sq cm
- 9. If the areaof parallelogram is 250 sq cm and its height is 25 cm , what is the length of its base. Suppose DEFG is a parallelogram Given : l ( DH ) = 25 cm , A ( DEFG ) = 250 sq cm To find out : l ( EF ) =? SOLUTION : Area of Parallelogram= Base x Height A ( DEFG ) = l ( EF ) × l ( DH) 250 cmxcm = l ( EF) x 25 cm 250 Xcm Xcm = l ( EF) 25 xcm 10 cm = l ( EF) The length of its base is 10 cm D E F G H
- 10.
- 11. Evaluation: Thearea of parallelogram ABCD is 300 sqcm . The length of its base is 15 cm what will be the height of parallelogram. If the length of base of parallelogram is 15 cm and its height is 30 cm. find o the area of parallelogram. The area of parallelogram ABCD is 450 sqcm . The length of its height is 9 cm what will be the base of parallelogram.
- 13. L=length H=height Whatis the area of this triangle? W=width COPY THIS
- 14. PASTE HERE H=height W=width L=length cho
- 15. L=length H=height W=width FLIP HORIZONTALLY!
- 16. The area ofthe L=length H=height triangle is ½ the B = Base Area of triangle= ½ (Base x Height) INVERT HERE area of this parallelogram
- 17. 8cm 10cm 6cm 7cm Area of triangle =½ base X height = ½ x 10 cm x 8cm = ½ x 80 sq cm =40 sq cm Area of triangle =½ base X height = ½ x 6cm x 7cm = ½x42sqcm =21 sq cm EXAMPLES
- 18. If the areaof triangle is 90 sq m and its base is 20 m , what is the length of its height. J k L M Suppose JKM is a triangle Given : A( JKM ) = 90 sq m , l ( KM ) = 20 m To find out : l ( JL ) Solution : Area of triangle =½ X base X height 90sqm = ½ X l ( KM )X l The length of height of triangle is 9m (JL) 90sqm = ½ X 20 m X l (JL) 90sqm = 10m X l (JL) 9m = l (JL)
- 19. The areaof triangle GEF is 100 sqcm . The length of its base is 25 cm. what will be the height of triangle. If the length of base of triangle is 12 cm and its height is 27 cm. find out the area of triangle. The area of triangle RPS is 120 sqcm . The length of its height is 5 cm what will be the base of triangle.