Question:
<p>The area of the trapezium ABCD with AB || CD, AD <span class="math-tex">\(\perp\)</span> AB and AB = 3CD is equal to 4. A circle inside the trapezium is tangent to all of its sides. If the radius of the circle is r then the value of 4r<sup>2</sup>, is :</p>
<p style="display:inline">8</p>
<p style="display:inline">1</p>
<p style="display:inline">3</p>
<p style="display:inline">2</p>
Step-by-Step Solution
Key Concept: For a tangential trapezium with a right angle, use the property that the sum of opposite sides is equal (AB + CD = AD + BC) and that the height AD equals the diameter (2r).
<p>3</p>
Correct Answer: C