One diagonal of a quadrilateral is 35 centimetres long and the perpendiculars to it from the opposite vertices are 15 centimetres and 19 centimetres long. What is the area of this quadrilateral?

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Solution

Length of the diagonal, d = 35 cm

Length of the first perpendicular, p₁ = 15 cm

Length of the second perpendicular, p₂ = 19 cm

Area of the quadrilateral =

=

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One diagonal of a quadrilateral is 35 centimetres long and the perpendiculars to it from the opposite vertices are 15 centimetres and 19 centimetres long. What is the area of this quadrilateral?

Length of the diagonal, d = 35 cm Length of the first perpendicular, p1 = 15 cm Length of the second perpendicular, p2 = 19 cm Area of the quadrilateral = =

Length of the diagonal, d = 35 cm

Length of the first perpendicular, p₁ = 15 cm

Length of the second perpendicular, p₂ = 19 cm

Area of the quadrilateral =

=