Respuesta :

ANSWER

PS = 13 units

EXPLANATION

The perimeter of the given rectangle is 46 units.

The perimeter of a rectangle is given as:

P = 2(L + B)

where L = length

B = breadth

From the figure:

L = 3z - 2

B = 2z

So, the perimeter is:

46 = 2(3z - 2 + 2z)

46 = 2(5z - 2)

Expand the bracket:

46 = 10z - 4

Collect like terms:

46 + 4 = 10z

50 = 10z

=> z = 50 / 10

z = 5

In a rectangle, opposite sides are equal. This means that:

PS = RQ = 3z - 2

PS = 3(5) - 2 = 15 - 2

PS = 13 units

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