Question

1. One diagonal of a quadrilateral measure28.8 if the perpendicular drawn to it from
vertices are 12 cm and 15 cm, then find the area of the quadrilateral

Answer 1

Answer:

388.8 sq cm

Step-by-step explanation:

let the quadrilateral be ABCD

the diagonal is AC = 28.8

the diagonal divide the quadrilateral into two triangle

perpendicular distance from vertice B to AC is h1 = 12 cm

perpendicular distance from vertice D to AC is h2 = 15 cm

ar ABCD = ar ∆ABC + ar ∆ADC

= (1/2 × AC × h1) + (1/2 × AC × h2)

= 1/2 × AC × (h1 + h2)

= 1/2 × 28.8 × (12 + 15)

= 1/2 × 28.8 × 27

= 14.4 × 27

= 388.8 sq cm

therefore the area of quadrilateral ABCD = 388.8 sq cm

hope you get your answer