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.​

Answer 1

Given :

• Diagonal of Quadrilateral = 15cm
• First perpendicular = 10cm
• Second perpendicular = 8cm

To Find :

• Area of Quadrilateral

Solution :

✰ Area = ½ × Diagonal × (P¹ + P²)

⠀

⠀⟶⠀Area = ½ × Diagonal × (P¹ + P²)

⠀⟶⠀Area = ½ × 15 × (10 + 8)

⠀⟶⠀Area = ½ × 15 × 18

⠀⟶⠀Area = 15 × 9

⠀⟶⠀Area = 135cm²

So Area of Quadrilateral is 135cm²

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Answer 2

Given :

Diagonal of Quadrilateral = 15cm

First perpendicular = 10cm

Second perpendicular = 8cm

To Find :

Area of Quadrilateral

Solution :

✰ Area = ½ × Diagonal × (P¹ + P²)

⠀

⠀⟶⠀Area = ½ × Diagonal × (P¹ + P²)

⠀⟶⠀Area = ½ × 15 × (10 + 8)

⠀⟶⠀Area = ½ × 15 × 18

⠀⟶⠀Area = 15 × 9

⠀⟶⠀Area = 135cm²

So Area of Quadrilateral is 135cm²

___________________

Hope it will helps you ❤️