the value of x in a rectangle where its opposite sides are `3x+18 and 5x`

Find the values of x and y in the following rectangle : We know that the opposite sides of a rectangle are equal therefore 3x + y = 7 …(1) x + 3y = 13 …(2) 9x + 3y = 21 [from (1)] {:(" x + 3y = 13"),( " "ul"- - -"),("On subtracting, 8x =8"):} x = 1 Now, from (1), 3 (1) + y = 7 implies y = 7 - 3 implies y = 4 Hence, the required values of x and y are 1 and 4 respectively.

Find the equations of the circles drawn on the diagonals of the rectangle as its diameter whose sides are x=5,\ x=-2,\ y=3\ a n d\ y=-1.

Find the value of x in 3x = 2x + 18

Find the equation of the circle circumscribing the rectangle whose sides are : x=4, x=-5, y=5, y=-3

Find the equaiton of the circle drawn on a diagonal of the rectangle as its diameter whose sides are : x=5, x=8, y=4, y=7

Find the equation of the circle circumscribing the rectangle whose sides are : x=6, x = -3, y=3, y=-1

Find the equation of the circle circumscribing the rectangle whose sides are x-3y=4,\ 3x+y=32 ,\ x-3y=14\ a n d\ 3x+y=62.

(i) The two sides of a rectangle are x units and (10 - x) units. For what value of x, the area of rectangle will be maximum? (ii) Prove that a rectangle, whose area is constant has minimum perimeter if it is a square.

The measurements of the sides of a rectangle are given. Find (i) the value of x. (ii) the area of the rectangle (iii) the perimeter of the rectangle .

If the points (1, 2) and (3, 4) were to be on the opposite side of the 3x - 5y + alpha = 0 , then: