Question

19 A diagonal of a quadrilateral is 26 cm and the perpendiculars drawn to it from the opposite
vertices are 12.8 cm and 11.2 cm. Find the area of the quadrilateral​

Answer 1

Answer:

72.98

Step-by-step explanation:

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Answer 2

Answer:

312 cm2

Step-by-step explanation:

We have:

AC = 26 cm, DL = 12.8 cm and BM = 11.2 cm

Area of ΔADC = AC DL

= 26 cm 12.8 cm = 166.4 cm2

Area of ΔABC = AC BM

= 26 cm 11.2 cm = 145.6 cm2

∴ Area of the quadrilateral ABCD = Area of ΔADC + Area of ΔABC

= (166.4 + 145.6) cm2

= 312 cm2