The correct option is B
Given each angle is a right angle and the sum of the opposite sides are 8 cm and 11.2 cm
Hence, the quadrilateral is a rectangle.
If the following figure is the rough sketch, AD=BC
If, AD + BC = 8 then,
2×AD=8cm ⇒AD=82=4cm ∴AD=BC=4cm
If, AB + BC = 11.2 then, 2×AB=11.2cm ⇒AB=11.22=5.6cm ∴AB=CD=5.6cm
Steps of Construction:
Step 1: Draw a line segment AB of length 5.6 cm.
Step 2: At A and B, construct 90° and extend the lines.
Step 3: Keeping A and B as the centers, draw two arcs of radius 4cm on both the points. Mark the point D and C respectively.
Step 4: Join D and C to get the complete quadrilateral.
We get the required quadrilateral as follows.