Question

the diagonal of a quadrilateral shaped field is 20 m and the perpendiculars dropped on it from the remaining opposite vertices are 12 m and 8 m. find the area of the field.
a) 200 cm
b) 400 cm
c) 250 cm
d) 420 cm​

Answer 1

Step-by-step explanation:

Consider, h1 = 13 m, h2 = 8 m and AC = 24 m

Area of quadrilateral ABCD = Area of triangle ABC + Area of triangle ADC

= ½ ( b h1) + 1/2 (b h2)

= 1/2 b (h1 + h2)= 1/2 x 24 x (13 + 8 )

= 1/2 x 24 x 21 = 252

Hence, the required area of the field is 252 m^2