The rectangle shown in figure has sides parallel to the x and y axes. The position vectors of two corners are A=10.0m at 53° and B=12.0m at 30° with positive x- axis. Find the perimeter of the rectangle.

The farm house shown in figure has rectangular shape and has sides parallel to the chosen x and y axes. The position vector of corner A is 125 m at 53^(@) and corner C is 100 m at 37^(@) from x axis. Find the length of the fencing required in meter.

Theratio of two sides of a rectagle is 3:5and its perimeter is 48m. Find the sides of the rectangle

The x and y components of a vector are 4sqrt3 m and 4 m respectively. What angle does the vector make with positive x-axis ?

A vector lying in x-y plane has a magnitude 3, and makes an angle 30^(@) with the x-axis. Find its components along the two axes.

A rectangle has two opposite vertices at the points (1,2) and (5,5) .It these vertices lie on the line x=3, find the other vertices of the rectangle.

Two adjacent sides of a rectangle are in the ratio 4:3. The perimeter of the rectangle is 210 m. Find the sides of the rectangle.

The largest area of a rectangle which has one side on the x-axis and the two vertices on the curve y=e^(-x^(2) is

A rectangle with its sides parallel to the x-axis and y-axis is inscibed in the region bounded by the curves y=x^(2)-4 and 2y=4-x^(2) . The maximum possible area of such a rectangle is closest to the integer

A rectangle PQRS has its side PQ parallel to the line y = mx and vertices P,Q and S on the lines y = a , x = b and x = -b respectively . Find the locus of the vertex R .

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