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“the perimeter of the rectangle below is 90 units. find the length of side PS. write your answer without variables.”

The Perimeter Of The Rectangle Below Is 90 Units Find The Length Of Side PS Write Your Answer Without Variables class=

Sagot :

ayyenn

Answer:

19

Step-by-step explanation:

The opposite sides are equal, so:

PS = 3y+1

RS = 4y+2

QR = 3y+1

PQ = 4y+2

Therefore, we can set the perimeter 90 = PS+RS+QR+PQ

90 = (3y+1) + (4y+2) + (3y+1) + (4y+2), or,

90 = 2(3y+1) + 2(4y+2)

90 = 6y+2 + 8y+4

90 = 14y + 6

84 = 14y

y = 6

Then, we go back to the question. It's asking for the length of PS. PS = 3y+1, so we plug in 6 for y

3(6)+1

18 + 1 = 19

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