Question

the area of this figure
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Answer 1

Mark me as a brainlist and follow also

Answer 2

Answer:

Area of the given figure = 328 cm²

Step-by-step explanation:

Hey mate!!!

That's a very brilliant Question...

Let's start solving it...

To Solve this question, we need to know that what is heron's formula:

$<b> <i> Area of scalene triangle : <b><i>$

$= \sqrt{s(s - a)(s - b)(s - c)}$

Where,

$\huge{s = \frac{a + b + c}{2} }$

Now,

Area of first triangle :

$\\ \frac{6 + 10 + 12}{2} \\ = 22$

= √22(22-6)(22-10)(22-12)

= √22 × 16 × 12 × 11

= 206 cm²(approx.)

Now,

Area of second triangle :

$\\ = \frac{8.2 + 16 + 12}{2} \\ = 18(approx.)$

= √18 (18 - 8.2) (18 - 16)(18 - 12)

= 46 cm²

Now,

Area of third triangle :

$\\ = \frac{8 + 14 + 16}{2} \\ = 19$

= √ 19(19-8)(19-14)(19-16)

= √ 19 × 11 × 5 × 3

= 56 cm²

Now,

Area of last triangle :

$\\ = \frac{7.1 + 5.5 + 11}{2} \\ = 12 \: (approx.)$

= √12(12-7.1)(12-5.5)(12-11)

= √ 12 × 4.9 × 6.5 × 1

= 20 cm² (approx.)

Therefore,

Total area of that figure = 20 + 56 + 46 + 206 = 328 cm²

$\bold {hope \: it \: is \: helpful \: to \: you...} \\ \huge{please \: mark \: my \: answer \: as \: brainliest...}$

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