Question

Find the area of quadrilateral ABCD in which AB = 17cm, BC = 16cm , CD = 16cm, DA = 17cm and diagonal BD = 16 cm​

Answer 1

Answer:

126 cm

Step-by-step explanation:

Consider ΔABD :

s = (13 + 5 + 12)/2 cm

s = 15 cm

By heron formula, Area of ΔABC

=

15×(15−13)×(15−5)×(15−12)

cm²

= 30 cm²

Consider ΔBCD :

s = (16 + 20 + 12)/2 cm

s = 24 cm

By heron formula, Area of ΔBCD

=

24×(24−16)×(24−20)×(24−12)

cm²

= 96 cm²

Area of quadrilateral ABCD

= Area of ΔABC + Area of ΔBCD

= (30 + 96) cm²

= 126 cm

Answer 2

Step-by-step explanation:

hope it is very helpful to you

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