Using Quadratic Formula to solve Quadratic Equations
6. 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.
Let shorter side of rectangle = metres
Let diagonal of rectangle = metres
Let longer side of rectangle = metres
According to pythagoras theorem, we can say that
Comparing equation with standard form , we get
Applying quadratic formula , we get
Length cannot be in negative. Therefore, we ignore -30.
Therefore which means length of shorter side = metres and length of longer side = = metres
Therefore, length of sides are 90 and 120 in metres