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

Represent the following situations in the form of quadratic equations:(ii) The product of two consecutive positive integers is 306.We need to find the integers.

The perimeter of a rectangular swimming pool is 154 m. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?

The length of a rectangle is 3 metres more than twice of its breadth. If its perimeter be 72 metres, what is the length.

Represent the following situations in the form of quadratic equations:(iv)A train travels a distance of 480 km at a uniform speed.If the speed had ben 8 km/h less,then it would have taken 3 hours more to cover the same distance.We need to find the speed of the train.

The breadth of a rectangle is 5 cm. and its area is 100 m^2 . Find the length of the rectangle.

Is it possible to design a rectangular mango grove whose length is twice its breadth,and the area is 800m^2 ?If so,find its length and breadth.

Express the following statements by equations : The perimeter of a rectangle is 40 metres and its length exceeds 5 times of its breadth by 2 metres.

The area of a trapezium is 34m^2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

The length of a rectangle is three times of its breadth. If the area of the rectangle is 432 cm^2 then find its perimeter.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:The area of rectangle gets reduced by 9 square units,if its length is reduced by 5 units and breadth is increased by 3 units.If we increase the length by 3 units and the breadth by 2 units,the ares increases by 67 square units.Find the dimensions of the rectangle.