Question

find the area of trapezium whose length of its parallel side is 19 and 24 respectively and distance between them is 40 metre

Answer 1

Given :

• Parallel Sides of a Trapezium are 19 m and 24 m .
• Distance between them is 40 m .

To Find :

• Area of Trapezium .

Solution :

$\longmapsto\tt{Parallel\:Sides=19\:m\:and\:24\:m}$

As Given that the Distance between the Parallel sides is 40 m . So ,

$\longmapsto\tt{Height=40\:m}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Trapezium=\dfrac{1}{2}\times{(Sum\:of\:parallel\:Sides)}\times{h}}$

Putting Values :

$\longmapsto\tt{\dfrac{1}{2}\times{(19+24)}\times{40}}$

$\longmapsto\tt{\dfrac{1}{{\cancel{2}}}\times{43}\times{{\cancel{40}}}}$

$\longmapsto\tt{43\times{20}}$

$\longmapsto\tt\bf{860\:{m}^{2}}$

So , The Area of Trapezium is 860 m² ...

_______________________

Trapezium :

A Quadrilateral whose one pair of opposite sides are parallel is known as Trapezium .

Properties of Trapezium :

• Sum of all the angles of a trapezium is 360° .
• A Trapezium has two parallel and two non-parallel sides .
• Diagonals of a trapezium bisects each other .

_______________________

Answer 2

$\large{\underline{\underline{\textsf{\maltese\: {\red{Given :-}}}}}}$

☞ Length of 1st parallel side (a) = 19m

☞ Length of 2nd parallel side (b) = 24m

☞ Height (h) of the trapezium = 40m

$\large{\underline{\underline{\textsf{\maltese\: {\red{To Find :-}}}}}}$

☞ Area of trapezium = ?

$\large{\underline{\underline{\textsf{\maltese\: {\red{Diagram :-}}}}}}$

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines \qbezier(0,0)(0,0)(3,4)\qbezier(3,4)(3,4)(8,4)\qbezier(8,4)(8,4)(10,0) \qbezier(0,0)(0,0)(10,0)\put(5,4.2){\bf19 cm} \put(5,-.5){\bf24 cm} \qbezier(3,4)(3,4)(3,0)\put(3.2,2){\bf40 m}\put(4.3,-2.5){\framebox(2.7,.7)} \put(4.3,-2.3){\bf@ BeBrainliest}\end{picture}$

$\large{\underline{\underline{\textsf{\maltese\: {\red{Concept Implemented :-}}}}}}$

Area of trapezium = $\dfrac{1}{2}$ (Sum of parallel sides) Height

$\large{\underline{\underline{\textsf{\maltese\: {\red{Solution :-}}}}}}$

Area of trapezium = $\dfrac{1}{2}$ (Sum of parallel sides) Height

☯︎ Putting the values

Area of trapezium = $\dfrac{1}{2}$ (a + b) h

⇒ Area of trapezium = $\dfrac{1}{2}$ (19m + 24m) 40m

⇒ Area of trapezium = $\dfrac{1}{2}$ (43 m) 40m

⇒ Area of trapezium = 43m × 20m

⇒ Area of trapezium = 860m²

∴ Area of trapezium is 860m².

$\large{\underline{\underline{\textsf{\maltese\: {\red{Additional Information :-}}}}}}$

• A trapezium is a type of quadrilateral whose sum of all angles is 360°.

• One pair of sides are parallel in trapezium.

• Other pair of sides are non parallel.

• Diagonals of trapezium bisects each other.

$\large{\underline{\underline{\textsf{\maltese\: {\red{Learn more from Brainly :-}}}}}}$

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