Question

The diagonal of a quardrilateral is 10m. The
lengths of the perpendiculars drawn on this
diagonal from Opposite vertices are 5cm and 4cm
find its area.​

Answer 1

diagonal of quadrilateral = 10 m

vertice 1 = 5 m

vertice 2 = 4 m

area of quadrilateral = 1/2 × diagonal × ( sum of vertices )

area = 1/2 × 10 × ( 5 + 4 )

area = 5 × 9 = 45 m²

therefore, the area of the quadrilateral is 45 m²

Answer 2

Step-by-step explanation:

Area of quadrilateral = area of triangle of height 4cm + area of triangle of height with 5cm.

=½(10)(4)+½(10)(5)

=½(10)(4+5)

=½(10)(9)

=5(9)=45cm².

Hope helps u.