1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 A 17 B 17 C 17 D 17 E 18 A 18 B 18 C 18 D 18 E

West Bengal Mathematics

15. Area and Perimeter of Triangle and Quadrilateral Shaped Region

1. Real Numbers
2. Laws of Indices
3. Graph
4. Co-ordinate Geometry: Distance Formula
5. Linear Simultaneous Equations
6. Properties of Parallelogram
7. Polynomial
8. Factorisation
9. Transversal and Mid-Point Theorem
10. Profit and Loss
11. Statistics
12. Theorems on Area
13. Construction: (Construction of a Parallelogram whose measurement of one angle is given and equal in area of a triangle)
14. Construction: (Construction of a triangle equal in area of a quadrilateral)
15. Area and Perimeter of Triangle and Quadrilateral Shaped Region
16. Circumference of Circle
17. Theorems on concurrence
18. Area of Circular Region
19. Co-ordinate Geometry: Internal and External Division of Straight Line Segment
20. Co-ordinate Geometry: Area of Triangular Region
21. Logarithm

Let us Do 15.1

Let us do yourself 15.2

Let us do 15.3

Let us do the sum 15.1

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 A 19 B 19 C 19 D 19 E 20 A 20 B 20 C 20 D 20 E

Calculate and See 15.2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 A 21 B 21 C 21 D 21 E 21 F 22 A 22 B 22 C 22 D 22 E

Let us see by calculating 15.3

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 A 17 B 17 C 17 D 17 E 18 A 18 B 18 C 18 D 18 E

Q. 18 A4.5( 4 Votes )

Area of field in the shape of parallelogram ABCD is 96 sq. cm., length of diagonal BD is 12 cm. What is the perpendicular length drawn on diagonal BD from the point A?

Class 9th West Bengal Mathematics 15. Area and Perimeter of Triangle and Quadrilateral Shaped Region

Answer :

Let us consider a parallelogram ABCD such that

Area(ABCD) = 96 cm² and BD = 12 cm

To find: length of perpendicular length drawn on diagonal BD from the point A i.e. AE.

Now, In ΔABD and ΔBCD,

AB = CD [Opposite sides of parallelogram are equal]

AD = BC [Opposite sides of parallelogram are equal]

BD = BD [Common]

ΔABD ≅ ΔBCD [By SSS congruency criterion]

[Congruent triangles have equal areas]

⇒

Now, we know

Area of a triangle

⇒ 6AE = 48

∴ AE = 8 cm

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PREVIOUSArea of a field in the shape of trapezium is 162 sq. cm. and height is 6 cm. If length of one side is 23 cm, then the length of other side is NEXTThe length of adjacent sides of a parallelogram are 5 cm. and 3 cm. If the distance between the longer side is 2 cm., find the distance between the smaller sides.

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