Question!
The diagonal of a quadrilateral is 15cm, the two perpendicular lengths to this diagonal are 10 cm and 8 cm. Find the area of the quadrilateral.
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Given :
- Diagonal of Quadrilateral = 15cm
- First Perpendicular = 10cm
- Second Perpendicular = 8cm
To Find :
- Find Area of Quadrilateral ?
Solution :
- We know that,
➣ Area = ½ × Diagonal × (P¹ + P²)
According to the question :
- Area = ½ × Diagonal × (P¹ + P²)
➣ Area = ½ × 15 × (10 + 8)
➣ Area = ½ × 15 × 18
➣ Area = 15 × 9
➣ Area = 135cm²
Hence,
- The Area of Quadrilateral is 135cm².
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