Question

la quadrilaterale
The diagonal of
shaped field is 24m and the perpendicular
dropped con it from the remaining
opposite vertices are &m and 13m The
area of
the
field is?​

Answer 1

correct Question :

The diagonal of a quadrilateral shaped field is 24 m and the perpendicular dropped on it from the remaining opposite vertices are 8m and 13m. Find the area of field.

Step-by-step explanation:

$\tiny \bigstar \: \: \underline{ \boxed{\sf Area \: of \: Quadrilateral = \dfrac{1}{2} \times Sum \: of \: the \: perpendiculars \: on \: the \: diagonal \: from \: opposite \: vertices}} \: \: \bigstar$

$: \implies\sf Area \: of \: Quadrilateral = \dfrac{1}{2} \times 24 \times (8 + 13)$

$: \implies\sf Area \: of \: Quadrilateral = \dfrac{1}{ \cancel{2}} \times \cancel{24} \times 21$

$: \implies\sf Area \: of \: Quadrilateral = 12 \times 24$

$: \implies \underline{ \boxed{\sf Area \: of \: Quadrilateral = 252 \: {m}^{2} }} \\ </p><p>$