In the figure alongside, PQRS is a rectangle and QLMN is a square equal in area to the rectangle such that QL is perpendicular to SQ. If SL measures  √84 cm and the lengths of PQ and PS are whole numbers (when measured in cm), what is the measure of SM (in cm)

In the adjoining figure, AC + AB = 5 AD and AC - AD = 8. The area of the rectangle ABCD is:

The sides of a triangle are 5, 12 and 13 units respectively. A rectangle is  constructed which is equal in area to the triangle and has a width of 10 units. Then the perimeter of the rectangle is