Question

in figure 11.2 11 one pair of adjacent sides of a parallelogram is in the ratio 3:4 if one of its angle , angle a right angle and diagonal BD equal to 10 cm find
1) the length of the side of a parallelogram
2) perimeter of a parallelogram​

Answer 1

Answer:

1) the length of the side of a parallelogram = 8 cm

2) perimeter of a parallelogram​ = 28 cm

Step-by-step explanation:

Answer 2

1) Length = 8 & Breadth = 6

2) Perimeter = 28

Step-by-step explanation:

1) Let Calculate the Value of x :-

• Perpendicular(p) = 3x

• Base (b) = 4x

• Hypotenuse (h) = 10

By Pythagoras Theoram :-

$= > \boxed{ \bf \color{red}{ {h}^{2} = {p}^{2} + {b}^{2} }} \\ = > 1 {0}^{2} = {3x}^{2} + {4x}^{2} \\ = > 100 = 9 {x}^{2} + 16 {x}^{2} \\ = > 100 = 25 {x}^{2} \\ = > {x}^{2} = \frac{100}{25} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > \boxed{x = 2}$

Now Lets Calculate The Sides :-

• Length :- 4x => 2 x 4 = 8

• Breadth :- 3x => 2 x 3 = 6

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b) Perimeter = Sum Of All Sides

=>8 + 6 + 8 + 6

=> 28