Perimeter and area of a rectangle

The length and breadth of a rectangle are 12 cm and 4 cm. respectively. Find the perimeter and area of the rectangle.

Diagonal of a rectangle is 12 centimetres in length. The angle made by the diagonal with one of its sides is 30^circ . Find the perimeter and area of the rectangle.

ABCD is a square with sides 12 cm each. Find its perimeter and area. Cut off a rectangle measuring C 8cm 2 cm by 4 cm from a corner as shown in the figure. Find the perimeter and area of the new polygon thus formed.

In a rectangle ABCD, its diagonal AC = 15 cm and angleACD = alpha If cot alpha = 3/2 , find the perimeter and the area of the rectangle.

The length of a rectangle is decreasing at the rate of 5 cm/minute and the width is increasing at the rate of 4cm/minute. When length is 3 cm and width is 2 cm , find the rates of change of the perimeter and the area of the rectangle.

The length of a rectangle is decreasing at the rate of 5 cm/minute and the width is increasing at the rate of 4cm/minute. When lenght is 3 cm and width is 2 cm , find the rates of change of the perimeter and the area of the rectangle.