The diagonal of a quadrilateral is 30m in length and the length of the perpendiculars to it from the opposite - Maths - Mensuration

Question

The diagonal of a quadrilateral is 30m in length and the length of
the perpendiculars to it from the opposite vertices 6 8cm and 9 6cm
Find the area of the quadrilateral

Lovina Kansal · Accepted Answer

Dear student
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ABCD is a quadrilateral
 DF⊥AC and BE⊥ACLet BE=6
8cm and DF=9
6cm and AC=30m=3000cm   ∵1m=100cmArea of ABCD=Area of △ADC+Area of △ABC=12×AC×DF+12×AC×BE=12×ACDF+BE=12×3000×9
6+6 8=1500×16 4=24600cm2=2
46m2    ∵1m2=10,000cm2Thus, the area of quadrilateral ABCD is 2
46m2
Regards

The diagonal of a quadrilateral is 30m in length and the length of the perpendiculars to it from the opposite vertices 6.8cm and 9.6cm. Find the area of the quadrilateral.