Answer:
x = 24
PS = 45
Step-by-step explanation:
Perimeter of P Q R S is :
( 4x + 1 ) + ( 2x - 3 ) + ( 2x - 3 ) + 4 + ( 4x + 1 )
4x + 1 + 2x - 3 + 2x - 3 + 4 + 4x + 1
And in the question , given that the perimeter of this figure is 288.
Now let us find the value of x.
4x + 1 + 2x - 3 + 2x - 3 + 4 + 4x + 1 = 288
4x + 2x + 2x + 4x + 1 - 3 - 3 + 4 + 1 = 288
12x + 0 = 288
12x = 288
Divide both sides by 12
x = 24
And now let us find the value of PS
PS = 2x - 3
PS = 2× 24 - 3
PS = 48 - 3
PS = 45
Hope this helps you :-)
