A rectangle is of dimensions 12 metres x 5 metres. If the second dimension of the rectangle is increased by R metres and the first dimension is decreated by 2 metres, its area does not change. Find the value of R.

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

Work Problem on Geometry The perimeter of a rectangular field is 80 m. If the length of the field id decreased by 2m and breadth is increased by 3 m, then the area of the field is increased by 64 sq.m. Find the dimension of the field.

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.

Work Problem on Geometry The area of a rectangle remains the same if the length is increased by 7m and breadth decreased by 5m . Determine the dimension of the rectangle.

Work Problem on Geometry In a rectangle the length is increased and breadth is reduced by 2m , the area reduced by 28 sq.m. Find the dimension of the rectangle.

A uniformly accelerating body passes 12 metres in the 2nd second and 28 metres in the 4th second. Find the acceleration of the body

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

The length x of a rectangle is decreasing at the rate of 5 cm/min and the width y is increasing at the rate of 4 cm/min. When x = 8 cm and y = 6 cm, find the rates of change of the area of the rectangle

The length of a rectangle is decreasing at the rate of 3cm/minute and the width is increasing at the rate of 2cm/minute. When x=10cm and y=6cm , find the rate of change of (i) the perimeter (ii) the area of the rectangle.

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.