The diagonal of a rectangular field is 60 metres more than the shorter side . If the longer side is 30 metres more than the shorter side , find the sides of the field .

The hypotenuse of a right triangle is 6 m more than twice of the shortest side. If the third side is 2 m less than the hypotenuse, find the sides of the triangle ?

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

Represent the following situations in the form of quadratic equation: The area of a rectangular plot is 528 m^(2) . The length of the plot is one metre more than twice its breadth. We need to find the length and breadth of the plot.

A fields is in the shape of a trapezium whose parallel sides are 25 m and 10m. The non parallel sides are 14m and 13m. Find the area of the field.