Question

don't give only answer please solve it fully
I will mark brainlist who will tell the answer ​

Answer 1

Answer:

384 cm²

Step-by-step explanation:

AS ∆ADC IS A RIGHT ANGLED TRIANGLE

AB²=AD²+BD²

SO,

AD²=144+256

AD²=400

AD=20 cm

WHEN WE SEE THE ∆ABC WE CAN CLAIM THAT ∆ABC ALSO SATISFIES PYTHAGORAS THEOREM ( 48²+20²=52²

400+2304=2704):

SO THE AREA OF SHADED REGION IS :

THE AREA OF

∆ABC - ∆ADB

SO THE AREA OF ∆ABC is:

$\frac{1}{2} \times ab \times bc \\ = \frac{1}{2} \times 20 \times 48 \\ = 10 \times 48 \\ = 480 \: {cm}^{2}$

THE AREA OF ∆ADC is:

$\frac{1}{2} \times ad \times bd \\ \frac{1}{2} \times 16 \times 12 \\ = 8 \times 12 \\ = 96 {cm}^{2}$

SO THE AREA OF SHADED REGION IS :

= 480 - 96 cm²

= 384 cm²