Question

Find the diagonal of a quadrilateral whose area is 495 cm square and whose offsets are 19cm and 11cm​

Answer 1

Answer:

The area of quadrilateral is 195cm

2

The length of perpendicular heights are 8.5 and 11

The area of quadrilateral is given by

2

1

×d×(h

1

+h

2

)

where d is length of diagonal

h

1

=8.5;h

2

=11

⟹195=

2

1

×d×(11+8.5)

195=

2

1

×d×19.5

10=

2

1

×d

d=2×10

d=20

Answer 2

Answer:

Area of Quadrilateral=1/2 x diagonal x (sum of offsets)

Therefore,

495=1/2 x d x (19+11)

495 x 2= 30 x d

495/15=d

33=d or d=33cm