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The perimeter of the rectangle below is 46 units. Find the length of side PS. Write your answer without variables.

The perimeter of the rectangle below is 46 units. Find the length of side PS. Write-example-1
User Arount
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1 Answer

21 votes
21 votes

ANSWER

PS = 13 units

Step-by-step 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

User Bhall
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