Question

Find the area of a quadrilateral one of whose diagonals is 40 cm and thhe lengths of the perpendiculars drawn from the opposite vertices on the diagonals are 16 cm and 12 cm.

PLS HELP ME TO GET THIS OUT IF THE ANSWER IS CORRECT I WILL GIVW HIM/HER THE BRAINLIEST ANSWER

Answer 1

Answer:

find the ratio of the first quantity to the second

30 litres, 20litred

Answer 2

let ABCD is a quadrilateral whose diagonal AC is 40 cm long

M is perpendicular on AC from vertex B

N is perpendicular on AC from vertex D

Now in triangle ABC,

Area of triangle ABC = 1 /2 *AC*BM

Area of triangle ADC= 1/2*AC*DN

Area of quadrilateral ABCD= Area( ABC+ADC)

Area of quadrilateral ABCD= 1/2*40(16+12)

Area of quadrilateral ABCD= 20* 28

Area of quadrilateral ABCD= 560