Question

HELP Solve for w x and y

Answer 1

x = 24

PS = 45

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 :-)