Question

If the length of a diagonal of a quadrilateral is 10 cm and lengths of the perpendiculars on it from opposite vetices are 4 cm and 6 cm then area of the quadrilateral is _____.
A)100 cm^2
B)200 cm^2
C)50 cm^2
D)None of these

Please answer, its urgent!!!
I need explanation

Answer 1

Answer:

1

$in \: triangle \: abd \:$

$bd \: is \: base \: = 10$

$bd \: is \: \: base \: = 10$

$height = 4$

$area \: of \: triangle \: = \frac{1}{2} \times 10 \times 4$

$= 20 {cm}^{2}$

$and \: height = 6cm$

$area \: of \: triangle = \frac{1}{2} \times base \times height$

$area \: of \: triangle = \frac{1}{2} \times 10 \times 6$

$= 30 {cm}^{2}$

$in \: triangle \: bcd$

Area of quadrilateral = area of triangle ABD +BCD

= 30+20

=50cm²