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Question

A quadrilateral has an area of 453.6 cm2. The length of a diagonal is 42 cm and the perpendicular distance from one vertex is 10 cm. Find the perpendicular distance from the other vertex (in cm).

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Solution

Area of a quadrilateral can be written as the sum of two triangles.

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Let the perpendicular distance from the other vetex be x
Therefore, area of field = Ar of Δ ADC + Ar of Δ ABC
453.6cm2 = 12 × 42 × 10 + 12 × 42 × x
x = 11.6 cm


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