Question

Sister Nivedita has trapezium shaped plot which she divided into three triangular portion for different purposes. 1- for providing free education for orphan children, II - for providing dispensary for the needy villagers and III for the library for villagers. Find the area of trapezium plot given in the figure. Which qualities of sister Nivedita are being depicted in question ?​

Answer 1

Answer:

The area of trapezium shaped plot = 12 (20 + 50)(22.4)

= 35 x 22.4 = 784 m2

Step-by-step explanation:

From the above question :

They have given, Sister Nivedita has trapezium shaped plot which she divided into three triangular portion for different purposes.

For providing free education for orphan children

For providing dispensary for the needy villagers

For the library for villagers.

Here, ABCD is the trapezium with AB || DC.

Through C, Draw CF ⊥ AB

For 1 : For area of ∆EBC

 s = $\frac{26 + 28 + 30 }{2}$

 s = 84 / 2

 s = 42 m

But, we know, Area of ∆EBC = 12(base × height)

Here we need to find the area of trapezium plot given in the figure.

And the qualities of sister Nivedita are being depicted in question .

⇒ 121 × 30 × CF = 336

15 × CF = 336

⇒ CF = 33615 = 22.4 m

Now, area of trapezium shaped plot = 12 (20 + 50)(22.4)

= 35 x 22.4 = 784 m2

Caring, kind, social, generous and visionary lady.

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