Find the area of quadrilateral ABCD in which AB = 29 cm, BC = 21 cm, AC = 20 cm, CD = 34 cm and DA = 42 cm.
Mensuration
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Question

Find the area of quadrilateral ABCD in which AB = 29 cm, BC = 21 cm, AC = 20 cm, CD = 34 cm and DA = 42 cm.

KnowledgeBoat · Accepted Answer

From figure, The diagonal AC divides the quadrilateral ABCD into two triangles : △ABC & △ACD Area of △ABC : Let sides AB = a = 29 cm, BC = b = 21 cm, AC = c = 20 cm s = = = 35. By formula, Area of △ACD Let sides be AD = a = 42 cm, CD = b = 34 cm, AC = c = 20 cm s = = = 48. By formula, Area of quadrilateral ABCD = Area of △ABC + Area of △ACD = 210 + 336 = 546 cm2. Hence, area of quadrilateral = 546 cm2.

Mathematics

Find the area of quadrilateral ABCD in which AB = 29 cm, BC = 21 cm, AC = 20 cm, CD = 34 cm and DA = 42 cm.

Mensuration

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