Question

What is the area of the figure in the picture ?
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Answer 1

figure (1)

3x1 = 3cm²

figure (2)

$s = \frac{a + b + c}{2} = \frac{2.5 + 2.5 + 2}{2} = 3.5$

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

$\: = \sqrt{3.5(3.5 - 2.5)(3.5 - 2.5)(3.5 - 2)}$

$\: = \sqrt{3.5 \times 1 \times 1 \times 1.5}$

$\: = \sqrt{0.7 \times 5 \times 5. \times .3}$

$\: = 5 \sqrt{0.7 \times 0.3}$

$\: = 5 \times 0.458$

$\: = 2.290$

$total \: area = figure (1) + figure (2)$

$\: \: \: = 3 + 2.290$

$\: \: \: = 5.290 \: {cm}^{2}$

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