Question

Q4.Plot the points P(2,0) ,Q(9,0) and S(2,7). Find the coordinates of the point R

such that PQRS is a square.Also find its area.

it's urgent please answer​

Answer 1

Given : points P(2,0) ,Q(9,0) and S(2,7)

To Find : the coordinates of the point R  such that PQRS is a square.

Solution:

PQRS is Square Hence opposites sides are parallel  

P(2,0) ,Q(9,0)  

along x axis

RS || PQ  hence RS || x axis

=> R  , y coordinate will be same as  S  

S = (2 , 7)

=> R  y coordinate =  7

P(2,0) S(2,7)

x coordinate is same hence parallel to y axis

=> QR also parallel to y axis

=>  R x coordinate same as Q

Q = ( 9 , 0)

=> R x coordinate  = 9

Hence R = (9, 7)

PQ = QR = RS = PS  =  7 unit

area = 7 * 7  = 49 sq units

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