A field is in the shape of trapezium whose parallel sides are of length 25m and 10m. The non- parallel sides are of length 14m each. Find the area of the field
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We first find the height of the trapezium :
The sides that are not parallel are equal and so is their base.
The total length of the bases of the triangles formed by the two equal sides is :.
25 - 10 = 15m
The base of each is 15/2 = 7.5 m
We will use Pythagoras theorem to get the height :
14² - 7.5² = 139.75
h = √139.75 = 11.82
Area of the trapezium is :
(10 + 25) / 2 × 11.82
17.5 × 11.82 = 206.85
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