Combination of quadrilateral and circle : In Figure; ABCD is a trapezium with AB||DC ; AB = 18cm; DC = 32cm and the distance between AB and DC is 14 cm. Circles of Equal radii 7 cm with centres A;B;C and D have been drawn. Then; find the area of the shaded region of the figure.

Explanation

To find the area of the shaded region in the trapezium ABCD with circles centered at its vertices, we will follow these steps:

### Step 1: Calculate the Area of the Trapezium
The area \( A \) of a trapezium can be calculated using the formula:
\[ A = \frac{1}{2} \times (a + b) \times h \]
where \( a \) and \( b \) are the lengths of the parallel sides, and \( h \) is the height (distance between the parallel sides).
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