The lengths of particular sides of an arrow are given in the diagram above. If the total perimeter is 20, what is the enclosed area (to 3 decimal places)?
Note that the lengths of the slanted line segments are not explicitly given. The arrow is symmetrical with respect to its central vertical axis.
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Since it is an arrow, we can assume that lengths of the slanted line segments are equal.
Now, sum of length of non-slanted line segments is 1 0 , so remaining should be 2 0 − 1 0 = 1 0 , hence slanted line segments are both length of 5 .
Now we can split this arrow into composite of triangle and rectangle. The area of rectangle is 3 × 2 = 6
For area of triangle, we can use Heron's Formula . Result should be approximately 9 . 1 6 5
So the sum of these areas is 1 5 . 1 6 5