In the given figure, ABCD is a quadrilateral in which diagonal BD = 70cm, AL is perpendicular to BD and CM is perpendicular to BD such that AL = 17 cm and CM = 21 cm. Calculate the area of the quadrilateral ABCD.
1330
Given Data:
- Diagonal BD = 70 cm
- AL (perpendicular to BD) = 17 cm
- CM (perpendicular to BD) = 21 cm
Step 1: Calculate the Area of Triangle ABD
Area = (1/2) × Base × Height
Area of △ABD = (1/2) × 70 × 17 = 595 cm²
Step 2: Calculate the Area of Triangle BCD
Area = (1/2) × Base × Height
Area of △BCD = (1/2) × 70 × 21 = 735 cm²
Step 3: Total Area of Quadrilateral ABCD
Total Area = 595 + 735 = 1330 cm²
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