Home
Class 9
MATHS
A park, in the shape of a quadrilateral ...

A park, in the shape of a quadrilateral ABCD, has `/_C=90^o ,\ A B=9 m ,\ B C=12 m ,\ C D=5 m a n d\ A D=8 m`. How much area does it occupy?

Text Solution

AI Generated Solution

To find the area of the quadrilateral ABCD, we can divide it into two triangles: triangle BCD and triangle ABD. Since angle C is 90 degrees, we can easily calculate the area of triangle BCD using the formula for the area of a triangle and then use Heron's formula for triangle ABD. ### Step 1: Calculate the area of triangle BCD Triangle BCD is a right triangle with: - BC = 12 m (height) - CD = 5 m (base) The area of triangle BCD can be calculated using the formula: ...
Promotional Banner

Topper's Solved these Questions

  • HERONS FORMULA

    NCERT ENGLISH|Exercise Exercise 12.1|6 Videos

  • HERONS FORMULA

    NCERT ENGLISH|Exercise Solved Examples|6 Videos

  • COORDINATE GEOMETRY

    NCERT ENGLISH|Exercise Solved Examples|4 Videos

  • INTRODUCTION TO EUCLIDS GEOMETRY

    NCERT ENGLISH|Exercise Exercise 5.1|7 Videos

Similar Questions

Explore conceptually related problems

A park, in the shape of a quadrilateral A B C D ,\ h a s\ /_C=90^0,\ A B=9c m ,\ B C=12 c m ,\ C D=5m\ a n d\ A D=8mdot How much area does it occupy?

Find the area of a quadrilateral A B C D is which A B=3c m ,\ B C=4c m ,\ C D=4c m ,\ D A=5c m\ a n d\ A C=5c m

Find the area of the quadrilateral A B C D , in which A B=7c m ,\ B C=6c m ,\ C D=12\ c m ,\ D A=15 c m\ a n d\ A C=9\ c mdot

Find the area of a quadrilateral ABCD in which A B=3\ c m ,\ B C=4\ c m ,\ C D=4\ c m ,\ D A=5\ c m\ a n d\ A C=5\ c m .

Find the area of the quadrilateral A B C D , in which A B=7c m ,B C=6c m ,C D=12 c m ,D A=15 cm and A C=9 cm

Find the area of the quadrilateral A B C D , in which A B=7c m ,B C=6c m ,C D=12 c m ,D A=15 c ma n dA C=9c m

Construct a quadrilateral A B C D in which . A B = 7. 5 c m ,\ A C=A D=6c m ,\ C D=5c m\ a n d\ B D=10 c mdot

Construct a quadrilateral A B C D given A D=5c m ,\ A B=5. 5 c m ,\ B C=2. 5 c m ,\ A C=7. 1 c m\ a n d\ B D=8c mdot

Construct a quadrilateral A B C D in which B C=4c m ,\ C A=5. 6 c m ,\ A D=4. 5 c m ,\ C D=5c m\ a n d\ B D=6. 5 c mdot

Construct a quadrilateral A B C D , when A B=3c m ,\ C D=3c m ,\ D A=7. 5 c m ,\ A C=8c m\ a n d\ B D=4c mdot