Question

If two rectangles ABCD and PQRS whose sides are parallel to the coordinate axes are drawn as shown in below figure then find the coordinates of 'R'.

Answer 1

Given B = (5,6)

Let E, F, G, H be the intersection points of these two rectangles.

Now AE = BF = 6 cm ($\because$ Opposite sides in a rectangle are equal)

$\therefore$ y-coordinate of F = y-coordinate of B - 6

= 6 - 6

= 0

and x-coordinate of F = x-coordinate of B ($\because$ BF is parallel to Y-axis)

$\therefore$ F = (5,0)

Given FR = 5 cm

$\because$ FR is parallel to X-axis, y-coordinate of F = y-coordinate of R

and x-coordinate R = x-coordinate of R + 5

= 5 + 5

= 10

$\therefore$ R = (10,0)