Question

please solve this
I want every step and formula implied
I will mark as brainlist

Answer 1

It can be divided into a parallelogram and a triangle.
Use heron's formula to take area of Triangle:
$s = 8 + 10 + 10 \div 2$
$s = 14$
Heron's Formula:
$area = \sqrt{s (s - a)(s - b)(s - c)}$
Putting respective values in the formula:
$\sqrt{14 ( 14 - 8)(14 - 10)(14 - 10)}$
$\sqrt{14 \times 6 \times 4 \times 4}$
Answer comes out to be:

$2 \times 2 \times 2 \sqrt{2 \times 3}$

$8 \sqrt{6}$

a=area
Using √3/2a to find altitude:
$\sqrt{3} \div 2 \times 8 \sqrt{6}$

$\sqrt{3} \times 4 \sqrt{6}$
$4 \sqrt{3 \times 3 \times 2}$
$4 \times 3 \sqrt{2}$
$12 \sqrt{2}$
$area \: of \: parallelogram = base \times height$
$12 \times 12 \sqrt{2}$
$144 \sqrt{2}$
Total Area:
area of //gm + area of triangle
$144 \sqrt{2} + 8 \sqrt{6}$
$152 \sqrt{2 \times 2 \times 2}$
$152 \times 2 \sqrt{2}$
$304 \sqrt{2}$
There you go.
Mark me as brainliest if you understand.