Question

The area of a quadrilateral ABCD is 325 cm². Find the length of the perpendicular drawn from D on AC
if AC = 25 cm and the length of the perpendicular from B on AC is 14 cm.


Solve this question....​

Answer 1

Answer:

Area of a quadrilateral ABCD = 1/2 x AC x (Sum of the lengths of the perpendicluars on AC)

Area of the quadrilateral = 325 cm2

Length of one of the perpendicular = 14 cm

Length of AC = 25 cm

Let the length of the other perpendicular be 'x' cm

325 = 25/2 (14 + x)

650 = 25 (14 + x)

14 + x = 26

or x = 12

Answer 2

Area of a quadrilateral ABCD = 1/2 x AC x (Sum of the lengths of the perpendicluars on AC)

Area of the quadrilateral = 325 cm2

Length of one of the perpendicular = 14 cm

Length of AC = 25 cm

Let the length of the other perpendicular be 'x' cm

325 = 25/2 (14 + x)

650 = 25 (14 + x)

14 + x = 26

or x = 12

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