A park in the shape of a quadrilateral ABCD has AB = 9m, BC = 12m, CD = 5 cm, AD = 8 m and c= 90°. Find the area of the park. [Given: = 5.9]

Question

Philoid · Accepted Answer

rom the given figure, it is clear that:

BCD is a right triangle

∴ BD =

=

= 13 m

Now, area of =

=

= 6 × 5 = 30 m²

Let the sides of the triangle be: a = 9 m, b = 8 m and c = 13 m

∴ s =

=

= = 15 m

Thus, by using Heron’s formula we get:

Area of

=

= 6 × 5.9 = 35.4 m²

∴ Area of quadrilateral ABCD = Area of + Area of

= 30 + 35.4

= 65.4 m²