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=O LINEAR EQUATIONS AND INEQUALITIESFinding a side length given the perimeter and side lengths with...The perimeter of the rectangle below is 176 units. Find the length of side QR.Write your answer without variables.S3y + 1R4y + 3QR = 0P

O LINEAR EQUATIONS AND INEQUALITIESFinding A Side Length Given The Perimeter And Side Lengths WithThe Perimeter Of The Rectangle Below Is 176 Units Find The Len class=

Answer :

We have a rectangle of perimeter of 176 units.

The perimeter is equal to two times the sum of length and width, so we can write and solve for y as:

[tex]\begin{gathered} P=176 \\ 2(L+W)=176 \\ 2(3y+1+4y+3)=176 \\ 2(7y+4)=176 \\ 7y+4=\frac{176}{2} \\ 7y+4=88 \\ 7y=88-4 \\ 7y=84 \\ y=\frac{84}{7} \\ y=12 \end{gathered}[/tex]

Now we have to calculate the length of QR:

[tex]\begin{gathered} QR=SP=4y+3 \\ QR=4(12)+3 \\ QR=48+3 \\ QR=51 \end{gathered}[/tex]

Answer: QR = 51

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