Question

the diagonals of a quadrilateral shaped field is 36cm and the perpendiculars dropped on it from the remaining opposite vertices are 10cm and 12cm. find the area of the field.​

Answer 1

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Answer -

Area of quadrilateral = 396 cm²

Explanation -

Area of the quadrilateral is given by -

Area of quadrilateral = 1/2 × diagonal × sum of altitudes

Area of quadrilateral = 1/2 × 36 × (10 + 12)

Area of quadrilateral = 18 × 22

Area of quadrilateral = 396 cm²

Hence, area of the quadrilateral shaped field is 396 cm²