Question

find the area of quadrilateral ABCD in the given figure​

Answer 1

Given- ABCD is a quadrilateral

prove- area of ABCD

proof-AB=17m

CD=12m

BC=?

DA=9m

AB-CD

17-12

5

AD-BC

9m

BC 9m+5m

14m
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Answer 2

Answer:

This question is simple.

Given- In triangle ADC

AD= 9cm, CD= 12cm and AC=??

By pythagoras theorm

( Hyp)^2 = (b)^2 + (alt)^2

(Hyp)^2 = (12)^2 + (9)^2

(Hyp)^2 = 144 + 81

(Hyp)^2 =225

(Hyp) = 15cm

Now, let's take triangle ABC

Again by pythagoras theorm -

(17)^2 = (15)^2 + (B)^2

289 = 225 + B^2

289- 225 = B^2

64 = B^2

B = 8cm

Now, area of quadrilateral ABCD =area of triangle ACD+ABC

= 1/2 * B*H + 1/2 * B*H

=1/2* 8* 15 + 1/2 *9*12

After solving it-

= 60+54

=114cm^2 is the area of quadrilateral ABCD

HOPE this answer will help and satisfy you!!!!