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Find the area of the figure. Round your answer to the nearest tenth.​

Find the area of the figure. Round your answer to the nearest tenth.​-example-1
User Aquero
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1 Answer

2 votes

Answer:


17.3\:\mathrm{m^2}

Explanation:

Solution 1:

As the angles are marked, the figure forms a 30-60-90 right triangle with the height. Therefore the height will be
(4)/(2)\cdot√(3)=2√(3). The area of this figure can be given as
b\cdot h, therefore our answer is
5\cdot 2√(3)\approx \fbox{$17.3$}.

Solution 2:

The figure forms two triangles when cut by the shortest diagonal. The area of a triangle can be given by
(1)/(2)ab\sin C. Since there are 2 of these triangles, the area of the entire figure is
2\cdot(1)/(2)\cdot4\cdot 5\cdot \sin 60^(\circ)\approx \fbox{$17.3$}.

User Siegen
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