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in Mathematics by (15.0k points)

The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

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1 Answer

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by (24.9k points)
edited by

It is given that,

Length of the diagonal, d = 24 m 

Length of the perpendiculars, h1 and h2, from the opposite vertices to the diagonal are h1 = 8 m and h2 = 13 m

Area of the quadrilateral = 1/2d (h1 + h2)

Thus, the area of the field is 252 m2

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