Question

how to find area of quadrilateral​

Answer 1

Answer:

Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

Answer 2

Answer:

$\huge\mathfrak\purple{Ans}\pink{wer} \:$

AREA OF QUADRILATERAL

We can find the area of any Quadrilateral by splitting it into two triangles .

we have Quadrilateral ABCD ( figure. 14.5 )

we have split the Quadrilateral ABCD by drawing the diagonal AC .

Area of Quadrilateral = ( Area of ∆ABC ) + ( Area of ∆ACD )

$= ( \frac{1}{2} \times ac \times {h}^{1} ) + ( \frac{1}{2} \times ac \times {h}^{2}$

$= \frac{1}{2} ac \: ( {h}^{1} + {h}^{2} )$

$= \frac{1}{2} d( {h}^{1} + {h}^{2} )$

( where d donates the length of diagonal AC )

$\huge\mathfrak\red{Reme}\orange{mber} \:$

Area of Quadrilateral = ½ ( diagonal × sum of altitudes drawn on the diagonal from the other two vertices )

Step-by-step explanation:

i hope it helps you :)

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