7. The diagonal of a quadrilateral is 30 cm in length and the lengths of perpendiculars to it from the opposite vertices are 8 cm and 10 cm. Find the area of the quadrilateral.
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Answered by
5
Answer:
• Length if diagonal = 30 cm
• Length of perpendicular = 8 cm and 10 cm .
area of quadrilateral
1 / 2 * length of diagonal ( sum of perpendiculars )
= 1 / 2 * 30 * ( 8 + 10 )
= 15 * 18
= 270 cm²
Answered by
15
Answer :
- Area of Quadrilateral is 270cm².
Given :
- The diagonal of a quadrilateral is 30 cm in length and the lengths of perpendiculars to it from the opposite vertices are 8 cm and 10 cm
To find :
- The area of the quadrilateral.
Solution :
Given,
- Length of Diagonal is 30cm
- Length of perpendicular is 8cm and 10cm
We knkw that
- Area of Quadrilateral = ½ × Length of Diagonal (Sum of perpendicular)
Substituting the value :
↬ Area of Quadrilateral = ½ × 30 × (8 + 10)
↬ Area of Quadrilateral = 15 × (8 + 10)
↬ Area of Quadrilateral = 15 × 18
↬ Area of Quadrilateral = 270cm²
Hence,
Area of Quadrilateral is 270cm².
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