Question

The area of a quadrilateral ABCD is 20cm2 and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is:​

Answer 1

Answer:

Step-by-step explanation:

Area of the given quadrilateral=1/2(sum of altitude s)x corresponding diagonals

20=1/2(1+1.5)xBD

1/2x2.5xBD=20cm²

BD =40/2.5=16cm

Answer 2

Answer:

BD=16 cm

Step-by-step explanation:

Area of quadrilateral = 1/2( diagonal ) ( length of perpendicular to diagonal from the points opposite to it)

so 1/2( BD)( length of perpendicular from A to BD and C to BD )

1/2(BD)( 1 + 1.5) = 20

BD = 20*2/2.5 = 16 cm

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