Question

Find the area of the shaded region in​

Answer 1

Answer:

please add 16cm, 12cm, 48cm, 52cm that is 128

Answer 2

Now other side of first triangle by Pythagoras Theorem

$x^{2} = 12^{2} \times 16^{2}$

$x^{2} = 400$

$x = 20$

since this side is side of both the triangle so, area of bigger triangle

s = $\frac{52 + 48 + 20}{2}$

s = 60

so, now

area = $\sqrt{(60)(60 - 52)(60 - 48)(60 - 20)}</p><p>= [tex]\sqrt{230400}$

=$480$

now area of smaller triangle

$\frac{1}{2} \times 16 \times 12$

$96$

so total shaded area

= 480 - 96

= 384 cm$^{2}$