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1st method
let the diagonal = d = 40m
perpendiculars to the diagonals are h1 , h2
H1 = 8m
H2 = 10m
area of the quadrilateral = (h1 + h2)d/2
= (8+10)*40/2
= 18*20
= 360 sq m
2nd method
ac = 40m
dn = 8m (see attachment for 2nd method)
bm = 10m
area of quadrilateral = ar (∆abc) + ar (∆adc)
1/2 ac × BM + 1/2 ac × dn
1/2 × 40× 10 + 1/2 40 × 8
200+160
360 ✔
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